2554465200 has 240 divisors, whose sum is σ = 9605694720. Its totient is φ = 568028160.

The previous prime is 2554465183. The next prime is 2554465211. The reversal of 2554465200 is 25644552.

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

It is a super-2 number, since 2×2554465200² = 13050584916022080000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306691 + ... + 314909.

It is an arithmetic number, because the mean of its divisors is an integer number (40023728).

Almost surely, 2^2554465200 is an apocalyptic number.

2554465200 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 2554465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802847360).

2554465200 is an abundant number, since it is smaller than the sum of its proper divisors (7051229520).

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

2554465200 is a wasteful number, since it uses less digits than its factorization.

2554465200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8284 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 2554465200 is about 50541.7174223433. The cubic root of 2554465200 is about 1366.9941736088.

The spelling of 2554465200 in words is "two billion, five hundred fifty-four million, four hundred sixty-five thousand, two hundred".