2681792190 has 192 divisors, whose sum is σ = 8928990720. Its totient is φ = 542142720.

The previous prime is 2681792171. The next prime is 2681792261. The reversal of 2681792190 is 912971862.

2681792190 is a `hidden beast` number, since 268 + 179 + 219 + 0 = 666.

It is a super-2 number, since 2×2681792190² = 14384018700689992200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251181 + ... + 261639.

It is an arithmetic number, because the mean of its divisors is an integer number (46505160).

Almost surely, 2^2681792190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2681792190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464495360).

2681792190 is an abundant number, since it is smaller than the sum of its proper divisors (6247198530).

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

2681792190 is a wasteful number, since it uses less digits than its factorization.

2681792190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10527 (or 10524 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 2681792190 is about 51786.0231143501. The cubic root of 2681792190 is about 1389.3394701652.

The spelling of 2681792190 in words is "two billion, six hundred eighty-one million, seven hundred ninety-two thousand, one hundred ninety".