2553395712 has 320 divisors, whose sum is σ = 8485171200. Its totient is φ = 665763840.

The previous prime is 2553395711. The next prime is 2553395729. The reversal of 2553395712 is 2175933552.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2553395711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5924137 + ... + 5924567.

It is an arithmetic number, because the mean of its divisors is an integer number (26516160).

Almost surely, 2^2553395712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553395712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242585600).

2553395712 is an abundant number, since it is smaller than the sum of its proper divisors (5931775488).

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

2553395712 is a wasteful number, since it uses less digits than its factorization.

2553395712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 491 counting only the distinct ones).

The product of its digits is 283500, while the sum is 42.

The square root of 2553395712 is about 50531.1360648066. The cubic root of 2553395712 is about 1366.8033720347.

The spelling of 2553395712 in words is "two billion, five hundred fifty-three million, three hundred ninety-five thousand, seven hundred twelve".