2079849744 has 320 divisors, whose sum is σ = 7328102400. Its totient is φ = 551536128.

The previous prime is 2079849731. The next prime is 2079849767. The reversal of 2079849744 is 4479489702.

It is a happy number.

2079849744 is a `hidden beast` number, since 20 + 7 + 98 + 497 + 44 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3044827 + ... + 3045509.

It is an arithmetic number, because the mean of its divisors is an integer number (22900320).

Almost surely, 2^2079849744 is an apocalyptic number.

2079849744 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 2079849744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664051200).

2079849744 is an abundant number, since it is smaller than the sum of its proper divisors (5248252656).

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

2079849744 is a wasteful number, since it uses less digits than its factorization.

2079849744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 2079849744 is about 45605.3696838432. The cubic root of 2079849744 is about 1276.4701215457.

The spelling of 2079849744 in words is "two billion, seventy-nine million, eight hundred forty-nine thousand, seven hundred forty-four".