2470709299968 has 432 divisors, whose sum is σ = 8795831553600. Its totient is φ = 649516548096.

The previous prime is 2470709299951. The next prime is 2470709300011. The reversal of 2470709299968 is 8699929070742.

2470709299968 is a `hidden beast` number, since 2 + 470 + 7 + 0 + 9 + 2 + 9 + 99 + 68 = 666.

It is a super-2 number, since 2×2470709299968² (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 = 2470709299896 and 2470709299905.

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, 65606008 + ... + 65643656.

Almost surely, 2^{2470709299968} is an apocalyptic number.

2470709299968 is a gapful number since it is divisible by the number (28) 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 2470709299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397915776800).

2470709299968 is an abundant number, since it is smaller than the sum of its proper divisors (6325122253632).

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

2470709299968 is a wasteful number, since it uses less digits than its factorization.

2470709299968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38004 (or 37987 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 2470709299968 in words is "two trillion, four hundred seventy billion, seven hundred nine million, two hundred ninety-nine thousand, nine hundred sixty-eight".