2545976800 has 36 divisors (see below), whose sum is σ = 6215367816. Its totient is φ = 1018390400.

The previous prime is 2545976767. The next prime is 2545976803. The reversal of 2545976800 is 86795452.

It is a super-2 number, since 2×2545976800² = 12963995732276480000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545976803) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1590436 + ... + 1592035.

It is an arithmetic number, because the mean of its divisors is an integer number (172649106).

Almost surely, 2^2545976800 is an apocalyptic number.

2545976800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2545976800 is an abundant number, since it is smaller than the sum of its proper divisors (3669391016).

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

2545976800 is a wasteful number, since it uses less digits than its factorization.

2545976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182491 (or 3182478 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The square root of 2545976800 is about 50457.6733510375. The cubic root of 2545976800 is about 1365.4783351333.

The spelling of 2545976800 in words is "two billion, five hundred forty-five million, nine hundred seventy-six thousand, eight hundred".