2504006400 has 432 divisors, whose sum is σ = 9765152768. Its totient is φ = 552960000.

The previous prime is 2504006399. The next prime is 2504006411. The reversal of 2504006400 is 46004052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4166100 + ... + 4166700.

Almost surely, 2^2504006400 is an apocalyptic number.

2504006400 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 2504006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882576384).

2504006400 is an abundant number, since it is smaller than the sum of its proper divisors (7261146368).

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

2504006400 is a wasteful number, since it uses less digits than its factorization.

2504006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2504006400 is about 50040.0479616077. The cubic root of 2504006400 is about 1357.9334242043.

The spelling of 2504006400 in words is "two billion, five hundred four million, six thousand, four hundred".