2745607104 has 280 divisors, whose sum is σ = 8478895920. Its totient is φ = 877879296.

The previous prime is 2745607093. The next prime is 2745607153. The reversal of 2745607104 is 4017065472.

2745607104 is a `hidden beast` number, since 2 + 7 + 45 + 607 + 1 + 0 + 4 = 666.

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

It is a congruent number.

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, 24297352 + ... + 24297464.

Almost surely, 2^2745607104 is an apocalyptic number.

2745607104 is a gapful number since it is divisible by the number (24) 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 2745607104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239447960).

2745607104 is an abundant number, since it is smaller than the sum of its proper divisors (5733288816).

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

2745607104 is a wasteful number, since it uses less digits than its factorization.

2745607104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2745607104 is about 52398.5410483918. The cubic root of 2745607104 is about 1400.2732636655.

The spelling of 2745607104 in words is "two billion, seven hundred forty-five million, six hundred seven thousand, one hundred four".