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2574113540 = 2251923535557
BaseRepresentation
bin1001100101101101…
…1101101100000100
320122101122111221112
42121123131230010
520232433113130
61103232104152
7120534414125
oct23133355404
96571574845
102574113540
111101024669
125ba095058
133203ab40b
141a5c2404c
15100eba495
hex996ddb04

2574113540 has 96 divisors (see below), whose sum is σ = 6050661120. Its totient is φ = 915273216.

The previous prime is 2574113533. The next prime is 2574113561. The reversal of 2574113540 is 453114752.

2574113540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25741135402 = 13252121033622663200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2574113497 and 2574113506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460442 + ... + 465998.

It is an arithmetic number, because the mean of its divisors is an integer number (63027720).

Almost surely, 22574113540 is an apocalyptic number.

2574113540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2574113540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025330560).

2574113540 is an abundant number, since it is smaller than the sum of its proper divisors (3476547580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2574113540 is a wasteful number, since it uses less digits than its factorization.

2574113540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5661 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 2574113540 is about 50735.7225236815. The cubic root of 2574113540 is about 1370.4900905228.

The spelling of 2574113540 in words is "two billion, five hundred seventy-four million, one hundred thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 53 76 92 95 106 115 190 212 230 265 380 437 460 530 874 1007 1060 1219 1748 2014 2185 2438 4028 4370 4876 5035 5557 6095 8740 10070 11114 12190 20140 22228 23161 24380 27785 46322 55570 92644 105583 111140 115805 127811 211166 231610 255622 294521 422332 463220 511244 527915 589042 639055 1055830 1178084 1278110 1472605 2111660 2428409 2556220 2945210 4856818 5595899 5890420 6773983 9713636 11191798 12142045 13547966 22383596 24284090 27095932 27979495 33869915 48568180 55958990 67739830 111917980 128705677 135479660 257411354 514822708 643528385 1287056770 2574113540