2505219282720 has 960 divisors, whose sum is σ = 11671453575936. Its totient is φ = 489940254720.

The previous prime is 2505219282689. The next prime is 2505219282739. The reversal of 2505219282720 is 272829125052.

2505219282720 is a `hidden beast` number, since 2 + 50 + 521 + 9 + 2 + 8 + 2 + 72 + 0 = 666.

It is a super-2 number, since 2×2505219282720² (a number of 26 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 16890804 + ... + 17038476.

Almost surely, 2^{2505219282720} is an apocalyptic number.

2505219282720 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 2505219282720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835726787968).

2505219282720 is an abundant number, since it is smaller than the sum of its proper divisors (9166234293216).

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

2505219282720 is a wasteful number, since it uses less digits than its factorization.

2505219282720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147735 (or 147718 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 2505219282720 in words is "two trillion, five hundred five billion, two hundred nineteen million, two hundred eighty-two thousand, seven hundred twenty".