2507016400 has 180 divisors, whose sum is σ = 7197916908. Its totient is φ = 836075520.

The previous prime is 2507016397. The next prime is 2507016431. The reversal of 2507016400 is 46107052.

It can be written as a sum of positive squares in 6 ways, for example, as 149719696 + 2357296704 = 12236^2 + 48552^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 35 ways as a sum of consecutive naturals, for example, 723472 + ... + 726928.

Almost surely, 2^2507016400 is an apocalyptic number.

2507016400 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 2507016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598958454).

2507016400 is an abundant number, since it is smaller than the sum of its proper divisors (4690900508).

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

2507016400 is a wasteful number, since it uses less digits than its factorization.

2507016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 2507016400 is about 50070.1148390934. The cubic root of 2507016400 is about 1358.4773183044.

The spelling of 2507016400 in words is "two billion, five hundred seven million, sixteen thousand, four hundred".