2468057978880 has 576 divisors, whose sum is σ = 9245876945760. Its totient is φ = 605277388800.

The previous prime is 2468057978861. The next prime is 2468057978923. The reversal of 2468057978880 is 888797508642.

2468057978880 is a `hidden beast` number, since 2 + 46 + 8 + 0 + 579 + 7 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2468057978880² (a number of 26 digits) contains 22 as substring.

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 = 2468057978799 and 2468057978808.

It is a congruent number.

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, 336656815 + ... + 336664145.

Almost surely, 2^{2468057978880} is an apocalyptic number.

2468057978880 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 2468057978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622938472880).

2468057978880 is an abundant number, since it is smaller than the sum of its proper divisors (6777818966880).

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

2468057978880 is a wasteful number, since it uses less digits than its factorization.

2468057978880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7658 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 2468057978880 in words is "two trillion, four hundred sixty-eight billion, fifty-seven million, nine hundred seventy-eight thousand, eight hundred eighty".