2745446400 has 390 divisors, whose sum is σ = 10200514412. Its totient is φ = 729907200.

The previous prime is 2745446383. The next prime is 2745446411. The reversal of 2745446400 is 46445472.

2745446400 is a `hidden beast` number, since 2 + 7 + 4 + 5 + 4 + 4 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8294235 + ... + 8294565.

Almost surely, 2^2745446400 is an apocalyptic number.

2745446400 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 2745446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5100257206).

2745446400 is an abundant number, since it is smaller than the sum of its proper divisors (7455068012).

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

2745446400 is an equidigital number, since it uses as much as digits as its factorization.

2745446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 2745446400 is about 52397.0075481415. The cubic root of 2745446400 is about 1400.2459431863.

The spelling of 2745446400 in words is "two billion, seven hundred forty-five million, four hundred forty-six thousand, four hundred".