2675907072400 has 135 divisors (see below), whose sum is σ = 6508995507651. Its totient is φ = 1057184663040.

The previous prime is 2675907072389. The next prime is 2675907072431. The reversal of 2675907072400 is 42707095762.

It is a happy number.

The square root of 2675907072400 is 1635820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 556856227984 + 2119050844416 = 746228^2 + 1455696^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2911759141 + ... + 2911760059.

Almost surely, 2^{2675907072400} is an apocalyptic number.

2675907072400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2675907072400 is the 1635820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2675907072400

2675907072400 is an abundant number, since it is smaller than the sum of its proper divisors (3833088435251).

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

2675907072400 is an frugal number, since it uses more digits than its factorization.

2675907072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 49.

Multiplying 2675907072400 by its sum of digits (49), we get a square (131119446547600 = 11450740²).

The spelling of 2675907072400 in words is "two trillion, six hundred seventy-five billion, nine hundred seven million, seventy-two thousand, four hundred".