2468993760 has 576 divisors, whose sum is σ = 9510359040. Its totient is φ = 580608000.

The previous prime is 2468993749. The next prime is 2468993773. The reversal of 2468993760 is 673998642.

It is a happy number.

2468993760 is a `hidden beast` number, since 2 + 468 + 99 + 37 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2468993697 and 2468993706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34774525 + ... + 34774595.

It is an arithmetic number, because the mean of its divisors is an integer number (16511040).

Almost surely, 2^2468993760 is an apocalyptic number.

2468993760 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 2468993760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755179520).

2468993760 is an abundant number, since it is smaller than the sum of its proper divisors (7041365280).

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

2468993760 is a wasteful number, since it uses less digits than its factorization.

2468993760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 2468993760 is about 49688.9702046641. The cubic root of 2468993760 is about 1351.5745250341.

It can be divided in two parts, 2468993 and 760, that added together give a triangular number (2469753 = T₂₂₂₂).

The spelling of 2468993760 in words is "two billion, four hundred sixty-eight million, nine hundred ninety-three thousand, seven hundred sixty".