2505998620800 has 288 divisors, whose sum is σ = 8949595442580. Its totient is φ = 667696988160.

The previous prime is 2505998620771. The next prime is 2505998620817. The reversal of 2505998620800 is 80268995052.

2505998620800 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 9 + 9 + 8 + 620 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1667631311424 + 838367309376 = 1291368^2 + 915624^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34321932 + ... + 34394868.

Almost surely, 2^{2505998620800} is an apocalyptic number.

2505998620800 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 2505998620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474797721290).

2505998620800 is an abundant number, since it is smaller than the sum of its proper divisors (6443596821780).

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

2505998620800 is a wasteful number, since it uses less digits than its factorization.

2505998620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74160 (or 74140 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 2505998620800 in words is "two trillion, five hundred five billion, nine hundred ninety-eight million, six hundred twenty thousand, eight hundred".