2740675584 has 176 divisors, whose sum is σ = 7734712320. Its totient is φ = 861020160.

The previous prime is 2740675583. The next prime is 2740675591. The reversal of 2740675584 is 4855760472.

It is a super-2 number, since 2×2740675584² = 15022605313467482112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2740675583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5581579 + ... + 5582069.

Almost surely, 2^2740675584 is an apocalyptic number.

2740675584 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 2740675584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867356160).

2740675584 is an abundant number, since it is smaller than the sum of its proper divisors (4994036736).

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

2740675584 is a wasteful number, since it uses less digits than its factorization.

2740675584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The square root of 2740675584 is about 52351.4620999261. The cubic root of 2740675584 is about 1399.4343946533.

The spelling of 2740675584 in words is "two billion, seven hundred forty million, six hundred seventy-five thousand, five hundred eighty-four".