2875532800 has 240 divisors, whose sum is σ = 8280898560. Its totient is φ = 969154560.

The previous prime is 2875532743. The next prime is 2875532837. The reversal of 2875532800 is 82355782.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6002961 + ... + 6003439.

It is an arithmetic number, because the mean of its divisors is an integer number (34503744).

Almost surely, 2^2875532800 is an apocalyptic number.

2875532800 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 2875532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140449280).

2875532800 is an abundant number, since it is smaller than the sum of its proper divisors (5405365760).

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

2875532800 is an equidigital number, since it uses as much as digits as its factorization.

2875532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 2875532800 is about 53623.9946292702. The cubic root of 2875532800 is about 1422.0213228960.

The spelling of 2875532800 in words is "two billion, eight hundred seventy-five million, five hundred thirty-two thousand, eight hundred".