2545994880 has 576 divisors, whose sum is σ = 10443920760. Its totient is φ = 567705600.

The previous prime is 2545994873. The next prime is 2545994887. The reversal of 2545994880 is 884995452.

It is a happy number.

2545994880 is a `hidden beast` number, since 2 + 5 + 4 + 599 + 48 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2545994873) and next prime (2545994887).

It can be written as a sum of positive squares in 4 ways, for example, as 1806590016 + 739404864 = 42504^2 + 27192^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2545994887) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9060340 + ... + 9060620.

Almost surely, 2^2545994880 is an apocalyptic number.

2545994880 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 2545994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221960380).

2545994880 is an abundant number, since it is smaller than the sum of its proper divisors (7897925880).

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

2545994880 is a wasteful number, since it uses less digits than its factorization.

2545994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The square root of 2545994880 is about 50457.8525107837. The cubic root of 2545994880 is about 1365.4815673950.

The spelling of 2545994880 in words is "two billion, five hundred forty-five million, nine hundred ninety-four thousand, eight hundred eighty".