2554155968 has 336 divisors, whose sum is σ = 6849368064. Its totient is φ = 934778880.

The previous prime is 2554155953. The next prime is 2554155983. The reversal of 2554155968 is 8695514552.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2554155953) and next prime (2554155983).

It is a super-3 number, since 3×2554155968³ (a number of 29 digits) contains 333 as substring.

Its product of digits (2160000) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54343721 + ... + 54343767.

It is an arithmetic number, because the mean of its divisors is an integer number (20385024).

Almost surely, 2^2554155968 is an apocalyptic number.

2554155968 is a gapful number since it is divisible by the number (28) 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 2554155968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424684032).

2554155968 is an abundant number, since it is smaller than the sum of its proper divisors (4295212096).

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

2554155968 is a wasteful number, since it uses less digits than its factorization.

2554155968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 50.

The square root of 2554155968 is about 50538.6581539320. The cubic root of 2554155968 is about 1366.9390106729.

The spelling of 2554155968 in words is "two billion, five hundred fifty-four million, one hundred fifty-five thousand, nine hundred sixty-eight".