2552180400 has 1080 divisors, whose sum is σ = 11910126592. Its totient is φ = 513216000.

The previous prime is 2552180387. The next prime is 2552180447. The reversal of 2552180400 is 40812552.

It is a happy number.

2552180400 is a `hidden beast` number, since 25 + 521 + 80 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 82328385 + ... + 82328415.

Almost surely, 2^2552180400 is an apocalyptic number.

2552180400 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 2552180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5955063296).

2552180400 is an abundant number, since it is smaller than the sum of its proper divisors (9357946192).

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

2552180400 is a wasteful number, since it uses less digits than its factorization.

2552180400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2552180400 is about 50519.1092558054. The cubic root of 2552180400 is about 1366.5864901078.

Adding to 2552180400 its reverse (40812552), we get a palindrome (2592992952).

The spelling of 2552180400 in words is "two billion, five hundred fifty-two million, one hundred eighty thousand, four hundred".