2675624640 has 224 divisors, whose sum is σ = 9194109120. Its totient is φ = 655343616.

The previous prime is 2675624629. The next prime is 2675624671. The reversal of 2675624640 is 464265762.

It is a junction number, because it is equal to n+sod(n) for n = 2675624592 and 2675624601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3356722 + ... + 3357518.

It is an arithmetic number, because the mean of its divisors is an integer number (41045130).

Almost surely, 2^2675624640 is an apocalyptic number.

2675624640 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 2675624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597054560).

2675624640 is an abundant number, since it is smaller than the sum of its proper divisors (6518484480).

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

2675624640 is a wasteful number, since it uses less digits than its factorization.

2675624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 2675624640 is about 51726.4404342692. The cubic root of 2675624640 is about 1388.2735911725.

The spelling of 2675624640 in words is "two billion, six hundred seventy-five million, six hundred twenty-four thousand, six hundred forty".