2757644340 has 192 divisors, whose sum is σ = 8831047680. Its totient is φ = 636444160.

The previous prime is 2757644333. The next prime is 2757644347. The reversal of 2757644340 is 434467572.

It is an interprime number because it is at equal distance from previous prime (2757644333) and next prime (2757644347).

It is a junction number, because it is equal to n+sod(n) for n = 2757644292 and 2757644301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2757644347) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5904787 + ... + 5905253.

It is an arithmetic number, because the mean of its divisors is an integer number (45995040).

Almost surely, 2^2757644340 is an apocalyptic number.

2757644340 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 2757644340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415523840).

2757644340 is an abundant number, since it is smaller than the sum of its proper divisors (6073403340).

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

2757644340 is a wasteful number, since it uses less digits than its factorization.

2757644340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The square root of 2757644340 is about 52513.2777495368. The cubic root of 2757644340 is about 1402.3166304600.

The spelling of 2757644340 in words is "two billion, seven hundred fifty-seven million, six hundred forty-four thousand, three hundred forty".