2505828302640 has 240 divisors, whose sum is σ = 9082945216800. Its totient is φ = 615444480000.

The previous prime is 2505828302623. The next prime is 2505828302749. The reversal of 2505828302640 is 462038285052.

2505828302640 is a `hidden beast` number, since 2 + 5 + 0 + 582 + 8 + 3 + 0 + 2 + 64 + 0 = 666.

2505828302640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3904515 + ... + 4500765.

It is an arithmetic number, because the mean of its divisors is an integer number (37845605070).

Almost surely, 2^{2505828302640} is an apocalyptic number.

2505828302640 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 2505828302640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541472608400).

2505828302640 is an abundant number, since it is smaller than the sum of its proper divisors (6577116914160).

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

2505828302640 is a wasteful number, since it uses less digits than its factorization.

2505828302640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596732 (or 596723 counting only the distinct ones).

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

The spelling of 2505828302640 in words is "two trillion, five hundred five billion, eight hundred twenty-eight million, three hundred two thousand, six hundred forty".