2554009920 has 672 divisors, whose sum is σ = 11350752000. Its totient is φ = 529182720.

The previous prime is 2554009919. The next prime is 2554009933. The reversal of 2554009920 is 299004552.

It is a happy number.

2554009920 is a `hidden beast` number, since 2 + 5 + 540 + 0 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 7317906 + ... + 7318254.

It is an arithmetic number, because the mean of its divisors is an integer number (16891000).

Almost surely, 2^2554009920 is an apocalyptic number.

2554009920 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 2554009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675376000).

2554009920 is an abundant number, since it is smaller than the sum of its proper divisors (8796742080).

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

2554009920 is a wasteful number, since it uses less digits than its factorization.

2554009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2554009920 is about 50537.2132195672. The cubic root of 2554009920 is about 1366.9129560758.

The spelling of 2554009920 in words is "two billion, five hundred fifty-four million, nine thousand, nine hundred twenty".