2554934400 has 240 divisors, whose sum is σ = 9429226290. Its totient is φ = 681246720.

The previous prime is 2554934399. The next prime is 2554934413. The reversal of 2554934400 is 44394552.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1737889344 + 817045056 = 41688^2 + 28584^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 254272 + ... + 264128.

Almost surely, 2^2554934400 is an apocalyptic number.

2554934400 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 2554934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4714613145).

2554934400 is an abundant number, since it is smaller than the sum of its proper divisors (6874291890).

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

2554934400 is an equidigital number, since it uses as much as digits as its factorization.

2554934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9893 (or 9867 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2554934400 is about 50546.3589193129. The cubic root of 2554934400 is about 1367.0778642381.

The spelling of 2554934400 in words is "two billion, five hundred fifty-four million, nine hundred thirty-four thousand, four hundred".