2079408240 has 640 divisors, whose sum is σ = 8999424000. Its totient is φ = 429649920.

The previous prime is 2079408239. The next prime is 2079408269. The reversal of 2079408240 is 428049702.

2079408240 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 408 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2079408195 and 2079408204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13955686 + ... + 13955834.

It is an arithmetic number, because the mean of its divisors is an integer number (14061600).

Almost surely, 2^2079408240 is an apocalyptic number.

2079408240 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 2079408240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712000).

2079408240 is an abundant number, since it is smaller than the sum of its proper divisors (6920015760).

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

2079408240 is a wasteful number, since it uses less digits than its factorization.

2079408240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2079408240 is about 45600.5289443006. The cubic root of 2079408240 is about 1276.3797934586.

The spelling of 2079408240 in words is "two billion, seventy-nine million, four hundred eight thousand, two hundred forty".