2468399670 has 320 divisors, whose sum is σ = 7705938240. Its totient is φ = 561254400.

The previous prime is 2468399657. The next prime is 2468399719. The reversal of 2468399670 is 769938642.

It is a happy number.

2468399670 is a `hidden beast` number, since 246 + 8 + 399 + 6 + 7 + 0 = 666.

It is a super-2 number, since 2×2468399670² = 12185993861712217800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10593874 + ... + 10594106.

It is an arithmetic number, because the mean of its divisors is an integer number (24081057).

Almost surely, 2^2468399670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2468399670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852969120).

2468399670 is an abundant number, since it is smaller than the sum of its proper divisors (5237538570).

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

2468399670 is a wasteful number, since it uses less digits than its factorization.

2468399670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 324 counting only the distinct ones).

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

The square root of 2468399670 is about 49682.9917577434. The cubic root of 2468399670 is about 1351.4661109190.

The spelling of 2468399670 in words is "two billion, four hundred sixty-eight million, three hundred ninety-nine thousand, six hundred seventy".