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2040931872 = 2532717231113
BaseRepresentation
bin111100110100110…
…0010011000100000
312021020101002012100
41321221202120200
513134434304442
6534304130400
7101401430460
oct17151423040
95236332170
102040931872
11958064361
1248b606a00
13266aa90c5
141550b1ba0
15be29a84c
hex79a62620

2040931872 has 432 divisors, whose sum is σ = 7337820672. Its totient is φ = 526417920.

The previous prime is 2040931859. The next prime is 2040931913. The reversal of 2040931872 is 2781390402.

It is a super-2 number, since 2×20409318722 = 8330805812290848768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18061288 + ... + 18061400.

It is an arithmetic number, because the mean of its divisors is an integer number (16985696).

Almost surely, 22040931872 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 2040931872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668910336).

2040931872 is an abundant number, since it is smaller than the sum of its proper divisors (5296888800).

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

2040931872 is a wasteful number, since it uses less digits than its factorization.

2040931872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2040931872 is about 45176.6739811598. The cubic root of 2040931872 is about 1268.4582261850.

The spelling of 2040931872 in words is "two billion, forty million, nine hundred thirty-one thousand, eight hundred seventy-two".