2010557832192 has 1232 divisors, whose sum is σ = 7857360568512. Its totient is φ = 498778767360.

The previous prime is 2010557832169. The next prime is 2010557832211. The reversal of 2010557832192 is 2912387550102.

2010557832192 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 557 + 8 + 3 + 2 + 1 + 92 = 666.

It is a super-3 number, since 3×2010557832192³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1154828442 + ... + 1154830182.

Almost surely, 2^{2010557832192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010557832192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928680284256).

2010557832192 is an abundant number, since it is smaller than the sum of its proper divisors (5846802736320).

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

2010557832192 is a wasteful number, since it uses less digits than its factorization.

2010557832192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 2010557832192 in words is "two trillion, ten billion, five hundred fifty-seven million, eight hundred thirty-two thousand, one hundred ninety-two".