2875532400 has 300 divisors, whose sum is σ = 11115533352. Its totient is φ = 707719680.

The previous prime is 2875532393. The next prime is 2875532423. The reversal of 2875532400 is 42355782.

2875532400 is a `hidden beast` number, since 2 + 87 + 5 + 532 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 417787 + ... + 424613.

Almost surely, 2^2875532400 is an apocalyptic number.

2875532400 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 2875532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557766676).

2875532400 is an abundant number, since it is smaller than the sum of its proper divisors (8240000952).

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

2875532400 is a wasteful number, since it uses less digits than its factorization.

2875532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6870 (or 6850 counting only the distinct ones).

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

The square root of 2875532400 is about 53623.9908995964. The cubic root of 2875532400 is about 1422.0212569594.

The spelling of 2875532400 in words is "two billion, eight hundred seventy-five million, five hundred thirty-two thousand, four hundred".