2390406720 has 448 divisors, whose sum is σ = 9124980480. Its totient is φ = 523763712.

The previous prime is 2390406709. The next prime is 2390406731. The reversal of 2390406720 is 276040932.

It is an interprime number because it is at equal distance from previous prime (2390406709) and next prime (2390406731).

It is a super-3 number, since 3×2390406720³ (a number of 29 digits) contains 333 as substring.

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, 4030744 + ... + 4031336.

It is an arithmetic number, because the mean of its divisors is an integer number (20368260).

Almost surely, 2^2390406720 is an apocalyptic number.

2390406720 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 2390406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4562490240).

2390406720 is an abundant number, since it is smaller than the sum of its proper divisors (6734573760).

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

2390406720 is a wasteful number, since it uses less digits than its factorization.

2390406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2390406720 is about 48891.7858131609. The cubic root of 2390406720 is about 1337.0796130717.

The spelling of 2390406720 in words is "two billion, three hundred ninety million, four hundred six thousand, seven hundred twenty".