2502891540 has 72 divisors (see below), whose sum is σ = 7768688928. Its totient is φ = 651913920.

The previous prime is 2502891499. The next prime is 2502891571. The reversal of 2502891540 is 451982052.

2502891540 is a `hidden beast` number, since 2 + 5 + 0 + 28 + 91 + 540 = 666.

It is a super-5 number, since 5×2502891540⁵ (a number of 48 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2502891495 and 2502891504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153946 + ... + 169425.

Almost surely, 2^2502891540 is an apocalyptic number.

2502891540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2502891540 is an abundant number, since it is smaller than the sum of its proper divisors (5265797388).

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

2502891540 is a wasteful number, since it uses less digits than its factorization.

2502891540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323429 (or 323424 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2502891540 is about 50028.9070438282. The cubic root of 2502891540 is about 1357.7318631657.

The spelling of 2502891540 in words is "two billion, five hundred two million, eight hundred ninety-one thousand, five hundred forty".