2573726400 has 420 divisors, whose sum is σ = 10815663408. Its totient is φ = 588072960.

The previous prime is 2573726399. The next prime is 2573726411. The reversal of 2573726400 is 46273752.

It is a happy number.

2573726400 is a `hidden beast` number, since 2 + 5 + 7 + 3 + 7 + 2 + 640 + 0 = 666.

2573726400 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 a tau number, because it is divible by the number of its divisors (420).

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 59 ways as a sum of consecutive naturals, for example, 905782 + ... + 908618.

Almost surely, 2^2573726400 is an apocalyptic number.

2573726400 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 2573726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407831704).

2573726400 is an abundant number, since it is smaller than the sum of its proper divisors (8241937008).

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

2573726400 is a wasteful number, since it uses less digits than its factorization.

2573726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2573726400 is about 50731.9071196816. The cubic root of 2573726400 is about 1370.4213810264.

The spelling of 2573726400 in words is "two billion, five hundred seventy-three million, seven hundred twenty-six thousand, four hundred".