2554836480 has 720 divisors, whose sum is σ = 10770274944. Its totient is φ = 557383680.

The previous prime is 2554836469. The next prime is 2554836499. The reversal of 2554836480 is 846384552.

2554836480 is a `hidden beast` number, since 25 + 548 + 3 + 6 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34997724 + ... + 34997796.

Almost surely, 2^2554836480 is an apocalyptic number.

2554836480 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 2554836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385137472).

2554836480 is an abundant number, since it is smaller than the sum of its proper divisors (8215438464).

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

2554836480 is a wasteful number, since it uses less digits than its factorization.

2554836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 2554836480 is about 50545.3902942692. The cubic root of 2554836480 is about 1367.0603992138.

The spelling of 2554836480 in words is "two billion, five hundred fifty-four million, eight hundred thirty-six thousand, four hundred eighty".