2865542400 has 864 divisors, whose sum is σ = 12652523520. Its totient is φ = 620421120.

The previous prime is 2865542371. The next prime is 2865542411. The reversal of 2865542400 is 42455682.

It is a happy number.

2865542400 is a `hidden beast` number, since 2 + 86 + 554 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×2865542400² = 16422666492395520000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 27820749 + ... + 27820851.

Almost surely, 2^2865542400 is an apocalyptic number.

2865542400 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 2865542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326261760).

2865542400 is an abundant number, since it is smaller than the sum of its proper divisors (9786981120).

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

2865542400 is a wasteful number, since it uses less digits than its factorization.

2865542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2865542400 is about 53530.7612499580. The cubic root of 2865542400 is about 1420.3725796128.

The spelling of 2865542400 in words is "two billion, eight hundred sixty-five million, five hundred forty-two thousand, four hundred".