2791652040 has 192 divisors, whose sum is σ = 9588196800. Its totient is φ = 730259712.

The previous prime is 2791652009. The next prime is 2791652069. The reversal of 2791652040 is 402561972.

2791652040 is a `hidden beast` number, since 2 + 7 + 91 + 6 + 520 + 40 = 666.

It is a super-2 number, since 2×2791652040² = 15586642224872323200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2791651986 and 2791652004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512451 + ... + 517869.

It is an arithmetic number, because the mean of its divisors is an integer number (49938525).

Almost surely, 2^2791652040 is an apocalyptic number.

2791652040 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 2791652040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794098400).

2791652040 is an abundant number, since it is smaller than the sum of its proper divisors (6796544760).

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

2791652040 is a wasteful number, since it uses less digits than its factorization.

2791652040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5498 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2791652040 is about 52836.0865318392. The cubic root of 2791652040 is about 1408.0576242450.

The spelling of 2791652040 in words is "two billion, seven hundred ninety-one million, six hundred fifty-two thousand, forty".