2500074720 has 960 divisors, whose sum is σ = 11064936960. Its totient is φ = 522547200.

The previous prime is 2500074683. The next prime is 2500074737. The reversal of 2500074720 is 274700052.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 35212285 + ... + 35212355.

It is an arithmetic number, because the mean of its divisors is an integer number (11525976).

Almost surely, 2^2500074720 is an apocalyptic number.

2500074720 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 2500074720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5532468480).

2500074720 is an abundant number, since it is smaller than the sum of its proper divisors (8564862240).

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

2500074720 is a wasteful number, since it uses less digits than its factorization.

2500074720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 2500074720 is about 50000.7471944170. The cubic root of 2500074720 is about 1357.2223295817. Note that the first 3 decimals are identical.

Adding to 2500074720 its reverse (274700052), we get a palindrome (2774774772).

The spelling of 2500074720 in words is "two billion, five hundred million, seventy-four thousand, seven hundred twenty".