2468573782416 has 1000 divisors, whose sum is σ = 8711863984384. Its totient is φ = 674046696960.

The previous prime is 2468573782387. The next prime is 2468573782427. The reversal of 2468573782416 is 6142873758642.

2468573782416 is a `hidden beast` number, since 2 + 4 + 6 + 85 + 73 + 78 + 2 + 416 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 15144624351 + ... + 15144624513.

Almost surely, 2^{2468573782416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2468573782416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355931992192).

2468573782416 is an abundant number, since it is smaller than the sum of its proper divisors (6243290201968).

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

2468573782416 is a wasteful number, since it uses less digits than its factorization.

2468573782416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 363 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 2468573782416 in words is "two trillion, four hundred sixty-eight billion, five hundred seventy-three million, seven hundred eighty-two thousand, four hundred sixteen".