2675913408 has 280 divisors, whose sum is σ = 9315106592. Its totient is φ = 743510016.

The previous prime is 2675913389. The next prime is 2675913437. The reversal of 2675913408 is 8043195762.

2675913408 is a `hidden beast` number, since 26 + 7 + 591 + 34 + 0 + 8 = 666.

2675913408 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2675913408² = 14321025134228348928, which contains 22 as substring.

2675913408 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1341660 + ... + 1343652.

It is a 1-persistent number, because it is pandigital, but 2⋅2675913408 = 5351826816 is not.

Almost surely, 2^2675913408 is an apocalyptic number.

2675913408 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 2675913408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657553296).

2675913408 is an abundant number, since it is smaller than the sum of its proper divisors (6639193184).

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

2675913408 is a wasteful number, since it uses less digits than its factorization.

2675913408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2675913408 is about 51729.2316587053. The cubic root of 2675913408 is about 1388.3235327277.

The spelling of 2675913408 in words is "two billion, six hundred seventy-five million, nine hundred thirteen thousand, four hundred eight".