2406783960 has 576 divisors, whose sum is σ = 9859449600. Its totient is φ = 505999872.

The previous prime is 2406783931. The next prime is 2406783989. The reversal of 2406783960 is 693876042.

It is an interprime number because it is at equal distance from previous prime (2406783931) and next prime (2406783989).

It is a super-2 number, since 2×2406783960² = 11585218060226563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14411797 + ... + 14411963.

It is an arithmetic number, because the mean of its divisors is an integer number (17117100).

Almost surely, 2^2406783960 is an apocalyptic number.

2406783960 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 2406783960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929724800).

2406783960 is an abundant number, since it is smaller than the sum of its proper divisors (7452665640).

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

2406783960 is a wasteful number, since it uses less digits than its factorization.

2406783960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2406783960 is about 49058.9844982548. The cubic root of 2406783960 is about 1340.1262151850.

The spelling of 2406783960 in words is "two billion, four hundred six million, seven hundred eighty-three thousand, nine hundred sixty".