2740625664 has 216 divisors, whose sum is σ = 8933833440. Its totient is φ = 741629952.

The previous prime is 2740625659. The next prime is 2740625729. The reversal of 2740625664 is 4665260472.

It is a super-2 number, since 2×2740625664² = 15022058060350881792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713092 + ... + 716924.

It is an arithmetic number, because the mean of its divisors is an integer number (41360340).

Almost surely, 2^2740625664 is an apocalyptic number.

2740625664 is a gapful number since it is divisible by the number (24) 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 2740625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466916720).

2740625664 is an abundant number, since it is smaller than the sum of its proper divisors (6193207776).

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

2740625664 is a wasteful number, since it uses less digits than its factorization.

2740625664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 2740625664 is about 52350.9853202402. The cubic root of 2740625664 is about 1399.4258979418.

The spelling of 2740625664 in words is "two billion, seven hundred forty million, six hundred twenty-five thousand, six hundred sixty-four".