2552675400 has 144 divisors (see below), whose sum is σ = 9352146960. Its totient is φ = 618825600.

The previous prime is 2552675393. The next prime is 2552675407. The reversal of 2552675400 is 45762552.

2552675400 is a `hidden beast` number, since 2 + 5 + 52 + 67 + 540 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2552675393) and next prime (2552675407).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2552675407) 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 35 ways as a sum of consecutive naturals, for example, 44662 + ... + 84261.

It is an arithmetic number, because the mean of its divisors is an integer number (64945465).

Almost surely, 2^2552675400 is an apocalyptic number.

2552675400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2552675400 is an abundant number, since it is smaller than the sum of its proper divisors (6799471560).

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

2552675400 is a wasteful number, since it uses less digits than its factorization.

2552675400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128956 (or 128944 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 2552675400 is about 50524.0081545398. The cubic root of 2552675400 is about 1366.6748350361.

The spelling of 2552675400 in words is "two billion, five hundred fifty-two million, six hundred seventy-five thousand, four hundred".