2472738788520 has 768 divisors, whose sum is σ = 10993805222400. Its totient is φ = 465339064320.

The previous prime is 2472738788453. The next prime is 2472738788537. The reversal of 2472738788520 is 258878372742.

2472738788520 is a `hidden beast` number, since 2 + 4 + 7 + 2 + 7 + 38 + 78 + 8 + 520 = 666.

It is a super-2 number, since 2×2472738788520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19034346 + ... + 19163814.

It is an arithmetic number, because the mean of its divisors is an integer number (14314850550).

Almost surely, 2^{2472738788520} is an apocalyptic number.

2472738788520 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 2472738788520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496902611200).

2472738788520 is an abundant number, since it is smaller than the sum of its proper divisors (8521066433880).

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

2472738788520 is a wasteful number, since it uses less digits than its factorization.

2472738788520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129570 (or 129563 counting only the distinct ones).

The product of its (nonzero) digits is 84295680, while the sum is 63.

The spelling of 2472738788520 in words is "two trillion, four hundred seventy-two billion, seven hundred thirty-eight million, seven hundred eighty-eight thousand, five hundred twenty".