2502616896 has 252 divisors, whose sum is σ = 7947306432. Its totient is φ = 752274432.

The previous prime is 2502616891. The next prime is 2502616933. The reversal of 2502616896 is 6986162052.

2502616896 is a `hidden beast` number, since 2 + 502 + 61 + 6 + 89 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2502616891) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4574895 + ... + 4575441.

Almost surely, 2^2502616896 is an apocalyptic number.

2502616896 is a gapful number since it is divisible by the number (26) 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 2502616896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973653216).

2502616896 is an abundant number, since it is smaller than the sum of its proper divisors (5444689536).

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

2502616896 is a wasteful number, since it uses less digits than its factorization.

2502616896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2502616896 is about 50026.1621154372. The cubic root of 2502616896 is about 1357.6821997339.

The spelling of 2502616896 in words is "two billion, five hundred two million, six hundred sixteen thousand, eight hundred ninety-six".