2672190877824 has 1024 divisors, whose sum is σ = 8985460377600. Its totient is φ = 776355840000.

The previous prime is 2672190877801. The next prime is 2672190877859. The reversal of 2672190877824 is 4287780912762.

2672190877824 is a `hidden beast` number, since 267 + 219 + 0 + 87 + 7 + 82 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9860482809 + ... + 9860483079.

It is an arithmetic number, because the mean of its divisors is an integer number (8774863650).

Almost surely, 2^{2672190877824} is an apocalyptic number.

2672190877824 is a gapful number since it is divisible by the number (24) 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 2672190877824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492730188800).

2672190877824 is an abundant number, since it is smaller than the sum of its proper divisors (6313269499776).

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

2672190877824 is a wasteful number, since it uses less digits than its factorization.

2672190877824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 2672190877824 in words is "two trillion, six hundred seventy-two billion, one hundred ninety million, eight hundred seventy-seven thousand, eight hundred twenty-four".