2757086640 has 640 divisors, whose sum is σ = 12024944640. Its totient is φ = 568719360.

The previous prime is 2757086627. The next prime is 2757086671. The reversal of 2757086640 is 466807572.

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

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, 20124652 + ... + 20124788.

It is an arithmetic number, because the mean of its divisors is an integer number (18788976).

Almost surely, 2^2757086640 is an apocalyptic number.

2757086640 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 2757086640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6012472320).

2757086640 is an abundant number, since it is smaller than the sum of its proper divisors (9267858000).

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

2757086640 is a wasteful number, since it uses less digits than its factorization.

2757086640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2757086640 is about 52507.9673954344. The cubic root of 2757086640 is about 1402.2220902637. Note that the first 3 decimals are identical.

It can be divided in two parts, 2757086 and 640, that added together give a triangular number (2757726 = T₂₃₄₈).

The spelling of 2757086640 in words is "two billion, seven hundred fifty-seven million, eighty-six thousand, six hundred forty".