2506772800 has 336 divisors, whose sum is σ = 7429024512. Its totient is φ = 814694400.

The previous prime is 2506772797. The next prime is 2506772813. The reversal of 2506772800 is 82776052.

It is a self number, because there is not a number n which added to its sum of digits gives 2506772800.

It is a congruent number.

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, 24337549 + ... + 24337651.

It is an arithmetic number, because the mean of its divisors is an integer number (22110192).

Almost surely, 2^2506772800 is an apocalyptic number.

2506772800 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 2506772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714512256).

2506772800 is an abundant number, since it is smaller than the sum of its proper divisors (4922251712).

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

2506772800 is a wasteful number, since it uses less digits than its factorization.

2506772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 2506772800 is about 50067.6821912099. The cubic root of 2506772800 is about 1358.4333170241.

The spelling of 2506772800 in words is "two billion, five hundred six million, seven hundred seventy-two thousand, eight hundred".