2875172400 has 180 divisors, whose sum is σ = 10043172672. Its totient is φ = 761679360.

The previous prime is 2875172389. The next prime is 2875172449. The reversal of 2875172400 is 42715782.

2875172400 is a `hidden beast` number, since 2 + 87 + 5 + 172 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 562657 + ... + 567743.

Almost surely, 2^2875172400 is an apocalyptic number.

2875172400 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 2875172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5021586336).

2875172400 is an abundant number, since it is smaller than the sum of its proper divisors (7168000272).

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

2875172400 is a wasteful number, since it uses less digits than its factorization.

2875172400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2875172400 is about 53620.6340880076. The cubic root of 2875172400 is about 1421.9619115413.

The spelling of 2875172400 in words is "two billion, eight hundred seventy-five million, one hundred seventy-two thousand, four hundred".