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2502831340 = 2254327110739
BaseRepresentation
bin1001010100101110…
…0010110011101100
320110102112000011001
42111023202303230
520111211100330
61052204210044
7116010500242
oct22513426354
96412460131
102502831340
111074868259
1259a239924
1330b6b10b9
1419a58a792
15e9ad99ca
hex952e2cec

2502831340 has 48 divisors (see below), whose sum is σ = 5398525440. Its totient is φ = 974151360.

The previous prime is 2502831277. The next prime is 2502831371. The reversal of 2502831340 is 431382052.

2502831340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2502831299 and 2502831308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227691 + ... + 238429.

It is an arithmetic number, because the mean of its divisors is an integer number (112469280).

Almost surely, 22502831340 is an apocalyptic number.

2502831340 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 2502831340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699262720).

2502831340 is an abundant number, since it is smaller than the sum of its proper divisors (2895694100).

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

2502831340 is a wasteful number, since it uses less digits than its factorization.

2502831340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11062 (or 11060 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2502831340 is about 50028.3053880501. The cubic root of 2502831340 is about 1357.7209776077.

The spelling of 2502831340 in words is "two billion, five hundred two million, eight hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 271 430 542 860 1084 1355 2710 5420 10739 11653 21478 23306 42956 46612 53695 58265 107390 116530 214780 233060 461777 923554 1847108 2308885 2910269 4617770 5820538 9235540 11641076 14551345 29102690 58205380 125141567 250283134 500566268 625707835 1251415670 2502831340