2545670400 has 864 divisors, whose sum is σ = 10900635648. Its totient is φ = 508723200.

The previous prime is 2545670359. The next prime is 2545670419. The reversal of 2545670400 is 40765452.

2545670400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54163177 + ... + 54163223.

Almost surely, 2^2545670400 is an apocalyptic number.

2545670400 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 2545670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450317824).

2545670400 is an abundant number, since it is smaller than the sum of its proper divisors (8354965248).

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

2545670400 is a wasteful number, since it uses less digits than its factorization.

2545670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

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

The square root of 2545670400 is about 50454.6370515139. The cubic root of 2545670400 is about 1365.4235559818.

The spelling of 2545670400 in words is "two billion, five hundred forty-five million, six hundred seventy thousand, four hundred".