2521263305880 has 384 divisors, whose sum is σ = 9282044378880. Its totient is φ = 610427819520.

The previous prime is 2521263305879. The next prime is 2521263305881. The reversal of 2521263305880 is 885033621252.

2521263305880 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 2 + 63 + 3 + 0 + 588 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2521263305879) and next prime (2521263305881).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2521263305881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85200447 + ... + 85230033.

It is an arithmetic number, because the mean of its divisors is an integer number (24171990570).

Almost surely, 2^{2521263305880} is an apocalyptic number.

2521263305880 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 2521263305880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4641022189440).

2521263305880 is an abundant number, since it is smaller than the sum of its proper divisors (6760781073000).

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

2521263305880 is a wasteful number, since it uses less digits than its factorization.

2521263305880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30421 (or 30405 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2521263305880 in words is "two trillion, five hundred twenty-one billion, two hundred sixty-three million, three hundred five thousand, eight hundred eighty".