2740249008 has 320 divisors, whose sum is σ = 9725568000. Its totient is φ = 721115136.

The previous prime is 2740249007. The next prime is 2740249021. The reversal of 2740249008 is 8009420472.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2740249007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2125228 + ... + 2126516.

It is an arithmetic number, because the mean of its divisors is an integer number (30392400).

Almost surely, 2^2740249008 is an apocalyptic number.

2740249008 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 2740249008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862784000).

2740249008 is an abundant number, since it is smaller than the sum of its proper divisors (6985318992).

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

2740249008 is a wasteful number, since it uses less digits than its factorization.

2740249008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2740249008 is about 52347.3877858294. The cubic root of 2740249008 is about 1399.3617852932.

The spelling of 2740249008 in words is "two billion, seven hundred forty million, two hundred forty-nine thousand, eight".