2554005841920 has 960 divisors, whose sum is σ = 10439191722960. Its totient is φ = 591654813696.

The previous prime is 2554005841897. The next prime is 2554005841951. The reversal of 2554005841920 is 291485004552.

2554005841920 is a `hidden beast` number, since 2 + 5 + 5 + 40 + 0 + 584 + 1 + 9 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1886425334784 + 667580507136 = 1373472^2 + 817056^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2554005841920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 183299274 + ... + 183313206.

Almost surely, 2^{2554005841920} is an apocalyptic number.

2554005841920 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 2554005841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219595861480).

2554005841920 is an abundant number, since it is smaller than the sum of its proper divisors (7885185881040).

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

2554005841920 is a wasteful number, since it uses less digits than its factorization.

2554005841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14002 (or 13973 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 2554005841920 in words is "two trillion, five hundred fifty-four billion, five million, eight hundred forty-one thousand, nine hundred twenty".