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2531074740 = 2235197131271
BaseRepresentation
bin1001011011011101…
…0010001010110100
320112101122220210220
42112313102022310
520140423342430
61055053414340
7116502531435
oct22667221264
96471586726
102531074740
1110897a8a07
125a779a3b0
133144bc67c
141a021d48c
15ec318110
hex96dd22b4

2531074740 has 96 divisors (see below), whose sum is σ = 7565322240. Its totient is φ = 630403200.

The previous prime is 2531074717. The next prime is 2531074747. The reversal of 2531074740 is 474701352.

2531074740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531074747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65305 + ... + 96575.

It is an arithmetic number, because the mean of its divisors is an integer number (78805440).

Almost surely, 22531074740 is an apocalyptic number.

2531074740 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 2531074740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782661120).

2531074740 is an abundant number, since it is smaller than the sum of its proper divisors (5034247500).

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

2531074740 is a wasteful number, since it uses less digits than its factorization.

2531074740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31373 (or 31371 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 2531074740 is about 50309.7877157119. The cubic root of 2531074740 is about 1362.8089902137.

The spelling of 2531074740 in words is "two billion, five hundred thirty-one million, seventy-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 71 76 95 114 142 190 213 228 284 285 355 380 426 570 710 852 1065 1140 1349 1420 2130 2698 4047 4260 5396 6745 8094 13490 16188 20235 26980 31271 40470 62542 80940 93813 125084 156355 187626 312710 375252 469065 594149 625420 938130 1188298 1782447 1876260 2220241 2376596 2970745 3564894 4440482 5941490 6660723 7129788 8880964 8912235 11101205 11882980 13321446 17824470 22202410 26642892 33303615 35648940 42184579 44404820 66607230 84369158 126553737 133214460 168738316 210922895 253107474 421845790 506214948 632768685 843691580 1265537370 2531074740