2468690784 has 240 divisors, whose sum is σ = 8342611200. Its totient is φ = 701519616.

The previous prime is 2468690779. The next prime is 2468690813. The reversal of 2468690784 is 4870968642.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2468690784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6513507 + ... + 6513885.

It is an arithmetic number, because the mean of its divisors is an integer number (34760880).

Almost surely, 2^2468690784 is an apocalyptic number.

2468690784 is a gapful number since it is divisible by the number (24) 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 2468690784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171305600).

2468690784 is an abundant number, since it is smaller than the sum of its proper divisors (5873920416).

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

2468690784 is a wasteful number, since it uses less digits than its factorization.

2468690784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 2468690784 is about 49685.9213862438. The cubic root of 2468690784 is about 1351.5192378153.

The spelling of 2468690784 in words is "two billion, four hundred sixty-eight million, six hundred ninety thousand, seven hundred eighty-four".