2715494882100 has 1152 divisors, whose sum is σ = 11113422028800. Its totient is φ = 503967744000.

The previous prime is 2715494882099. The next prime is 2715494882143. The reversal of 2715494882100 is 12884945172.

It is a super-2 number, since 2×2715494882100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 456152724 + ... + 456158676.

Almost surely, 2^{2715494882100} is an apocalyptic number.

2715494882100 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 2715494882100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5556711014400).

2715494882100 is an abundant number, since it is smaller than the sum of its proper divisors (8397927146700).

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

2715494882100 is a wasteful number, since it uses less digits than its factorization.

2715494882100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6046 (or 6025 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 2715494882100 in words is "two trillion, seven hundred fifteen billion, four hundred ninety-four million, eight hundred eighty-two thousand, one hundred".