2740645952 has 112 divisors (see below), whose sum is σ = 6121066752. Its totient is φ = 1206804480.

The previous prime is 2740645951. The next prime is 2740645961. The reversal of 2740645952 is 2595460472.

It is a super-2 number, since 2×2740645952² = 15022280468427972608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (2740645951) 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 15 ways as a sum of consecutive naturals, for example, 3738578 + ... + 3739310.

Almost surely, 2^2740645952 is an apocalyptic number.

2740645952 is a gapful number since it is divisible by the number (22) 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 2740645952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060533376).

2740645952 is an abundant number, since it is smaller than the sum of its proper divisors (3380420800).

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

2740645952 is a wasteful number, since it uses less digits than its factorization.

2740645952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The square root of 2740645952 is about 52351.1790889183. The cubic root of 2740645952 is about 1399.4293511050.

The spelling of 2740645952 in words is "two billion, seven hundred forty million, six hundred forty-five thousand, nine hundred fifty-two".