2505746880 has 448 divisors, whose sum is σ = 10883066880. Its totient is φ = 528519168.

The previous prime is 2505746791. The next prime is 2505746897. The reversal of 2505746880 is 886475052.

2505746880 is a `hidden beast` number, since 2 + 505 + 7 + 4 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 784647 + ... + 787833.

It is an arithmetic number, because the mean of its divisors is an integer number (24292560).

Almost surely, 2^2505746880 is an apocalyptic number.

2505746880 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 2505746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5441533440).

2505746880 is an abundant number, since it is smaller than the sum of its proper divisors (8377320000).

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

2505746880 is a wasteful number, since it uses less digits than its factorization.

2505746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2505746880 is about 50057.4358112758. The cubic root of 2505746880 is about 1358.2479745960.

The spelling of 2505746880 in words is "two billion, five hundred five million, seven hundred forty-six thousand, eight hundred eighty".