2745705600 has 672 divisors, whose sum is σ = 11197653840. Its totient is φ = 659404800.

The previous prime is 2745705559. The next prime is 2745705601. The reversal of 2745705600 is 65075472.

2745705600 is a `hidden beast` number, since 2 + 7 + 45 + 7 + 0 + 5 + 600 = 666.

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 (2745705601) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 25660747 + ... + 25660853.

Almost surely, 2^2745705600 is an apocalyptic number.

2745705600 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 2745705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598826920).

2745705600 is an abundant number, since it is smaller than the sum of its proper divisors (8451948240).

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

2745705600 is a wasteful number, since it uses less digits than its factorization.

2745705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 2745705600 is about 52399.4809134594. The cubic root of 2745705600 is about 1400.2900079483.

The spelling of 2745705600 in words is "two billion, seven hundred forty-five million, seven hundred five thousand, six hundred".