2740832640 has 960 divisors, whose sum is σ = 12409634160. Its totient is φ = 571318272.

The previous prime is 2740832629. The next prime is 2740832687. The reversal of 2740832640 is 462380472.

2740832640 is a `hidden beast` number, since 2 + 7 + 4 + 0 + 8 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 2740832595 and 2740832604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33022039 + ... + 33022121.

Almost surely, 2^2740832640 is an apocalyptic number.

2740832640 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 2740832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6204817080).

2740832640 is an abundant number, since it is smaller than the sum of its proper divisors (9668801520).

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

2740832640 is a wasteful number, since it uses less digits than its factorization.

2740832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2740832640 is about 52352.9620938491. The cubic root of 2740832640 is about 1399.4611259419.

It can be divided in two parts, 2740832 and 640, that added together give a palindrome (2741472).

The spelling of 2740832640 in words is "two billion, seven hundred forty million, eight hundred thirty-two thousand, six hundred forty".