2502072608 has 96 divisors (see below), whose sum is σ = 6086505600. Its totient is φ = 988360704.

The previous prime is 2502072607. The next prime is 2502072619. The reversal of 2502072608 is 8062702052.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2502072607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149528 + ... + 165416.

It is an arithmetic number, because the mean of its divisors is an integer number (63401100).

Almost surely, 2^2502072608 is an apocalyptic number.

2502072608 is a gapful number since it is divisible by the number (28) 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 2502072608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043252800).

2502072608 is an abundant number, since it is smaller than the sum of its proper divisors (3584432992).

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

2502072608 is a wasteful number, since it uses less digits than its factorization.

2502072608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15962 (or 15954 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2502072608 is about 50020.7217860758. The cubic root of 2502072608 is about 1357.5837662756.

The spelling of 2502072608 in words is "two billion, five hundred two million, seventy-two thousand, six hundred eight".