2552348700 has 216 divisors, whose sum is σ = 8767938816. Its totient is φ = 615888000.

The previous prime is 2552348671. The next prime is 2552348707. The reversal of 2552348700 is 78432552.

2552348700 is a `hidden beast` number, since 2 + 552 + 34 + 8 + 70 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552348707) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2801245 + ... + 2802155.

Almost surely, 2^2552348700 is an apocalyptic number.

2552348700 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 2552348700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383969408).

2552348700 is an abundant number, since it is smaller than the sum of its proper divisors (6215590116).

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

2552348700 is a wasteful number, since it uses less digits than its factorization.

2552348700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2552348700 is about 50520.7749346742. The cubic root of 2552348700 is about 1366.6165286650.

The spelling of 2552348700 in words is "two billion, five hundred fifty-two million, three hundred forty-eight thousand, seven hundred".