2890875187200 has 3744 divisors, whose sum is σ = 14005713576960. Its totient is φ = 515270246400.

The previous prime is 2890875187199. The next prime is 2890875187219. The reversal of 2890875187200 is 27815780982.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 36593356761 + ... + 36593356839.

Almost surely, 2^{2890875187200} is an apocalyptic number.

2890875187200 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 2890875187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7002856788480).

2890875187200 is an abundant number, since it is smaller than the sum of its proper divisors (11114838389760).

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

2890875187200 is a wasteful number, since it uses less digits than its factorization.

2890875187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 57.

The spelling of 2890875187200 in words is "two trillion, eight hundred ninety billion, eight hundred seventy-five million, one hundred eighty-seven thousand, two hundred".