2554917120 has 576 divisors, whose sum is σ = 10596096000. Its totient is φ = 570875904.

The previous prime is 2554917089. The next prime is 2554917121. The reversal of 2554917120 is 217194552.

2554917120 is a `hidden beast` number, since 2 + 554 + 91 + 7 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×2554917120⁴ (a number of 39 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2554917121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14273191 + ... + 14273369.

It is an arithmetic number, because the mean of its divisors is an integer number (18396000).

Almost surely, 2^2554917120 is an apocalyptic number.

2554917120 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 2554917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298048000).

2554917120 is an abundant number, since it is smaller than the sum of its proper divisors (8041178880).

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

2554917120 is a wasteful number, since it uses less digits than its factorization.

2554917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 2554917120 is about 50546.1879868304. The cubic root of 2554917120 is about 1367.0747822074.

The spelling of 2554917120 in words is "two billion, five hundred fifty-four million, nine hundred seventeen thousand, one hundred twenty".