2745372100 has 72 divisors (see below), whose sum is σ = 6112152200. Its totient is φ = 1069977600.

The previous prime is 2745372089. The next prime is 2745372107. The reversal of 2745372100 is 12735472.

It can be written as a sum of positive squares in 12 ways, for example, as 1163082816 + 1582289284 = 34104^2 + 39778^2 .

It is not an unprimeable number, because it can be changed into a prime (2745372107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 662836 + ... + 666964.

Almost surely, 2^2745372100 is an apocalyptic number.

2745372100 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 2745372100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056076100).

2745372100 is an abundant number, since it is smaller than the sum of its proper divisors (3366780100).

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

2745372100 is a wasteful number, since it uses less digits than its factorization.

2745372100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 2745372100 is about 52396.2985333888. The cubic root of 2745372100 is about 1400.2333114564.

It can be divided in two parts, 2745372 and 100, that added together give a palindrome (2745472).

The spelling of 2745372100 in words is "two billion, seven hundred forty-five million, three hundred seventy-two thousand, one hundred".