2409997157568 has 1792 divisors, whose sum is σ = 9781815214080. Its totient is φ = 568785162240.

The previous prime is 2409997157531. The next prime is 2409997157641. The reversal of 2409997157568 is 8657517999042.

2409997157568 is a `hidden beast` number, since 2 + 4 + 0 + 9 + 9 + 9 + 7 + 1 + 57 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2409997157496 and 2409997157505.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14431120621 + ... + 14431120787.

It is an arithmetic number, because the mean of its divisors is an integer number (5458602240).

Almost surely, 2^{2409997157568} is an apocalyptic number.

2409997157568 is a gapful number since it is divisible by the number (28) 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 2409997157568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4890907607040).

2409997157568 is an abundant number, since it is smaller than the sum of its proper divisors (7371818056512).

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

2409997157568 is a wasteful number, since it uses less digits than its factorization.

2409997157568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 2409997157568 in words is "two trillion, four hundred nine billion, nine hundred ninety-seven million, one hundred fifty-seven thousand, five hundred sixty-eight".