2740648008 has 192 divisors, whose sum is σ = 8450136000. Its totient is φ = 736501248.

The previous prime is 2740647997. The next prime is 2740648019. The reversal of 2740648008 is 8008460472.

It is an interprime number because it is at equal distance from previous prime (2740647997) and next prime (2740648019).

It is a super-2 number, since 2×2740648008² = 15022303007508736128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3865158 + ... + 3865866.

It is an arithmetic number, because the mean of its divisors is an integer number (44011125).

Almost surely, 2^2740648008 is an apocalyptic number.

2740648008 is a gapful number since it is divisible by the number (28) 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 2740648008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225068000).

2740648008 is an abundant number, since it is smaller than the sum of its proper divisors (5709487992).

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

2740648008 is a wasteful number, since it uses less digits than its factorization.

2740648008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 2740648008 is about 52351.1987255306. The cubic root of 2740648008 is about 1399.4297010500.

The spelling of 2740648008 in words is "two billion, seven hundred forty million, six hundred forty-eight thousand, eight".