2745650400 has 288 divisors, whose sum is σ = 9359400960. Its totient is φ = 698234880.

The previous prime is 2745650387. The next prime is 2745650407. The reversal of 2745650400 is 40565472.

It is a super-2 number, since 2×2745650400² = 15077192238040320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2745650407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7168609 + ... + 7168991.

It is an arithmetic number, because the mean of its divisors is an integer number (32497920).

Almost surely, 2^2745650400 is an apocalyptic number.

2745650400 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 2745650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679700480).

2745650400 is an abundant number, since it is smaller than the sum of its proper divisors (6613750560).

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

2745650400 is a wasteful number, since it uses less digits than its factorization.

2745650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 2745650400 is about 52398.9541880370. The cubic root of 2745650400 is about 1400.2806240185.

The spelling of 2745650400 in words is "two billion, seven hundred forty-five million, six hundred fifty thousand, four hundred".