2407991040 has 432 divisors, whose sum is σ = 10258492608. Its totient is φ = 507838464.

The previous prime is 2407990987. The next prime is 2407991051. The reversal of 2407991040 is 401997042.

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 = 2407990986 and 2407991004.

It is a congruent number.

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, 1047172 + ... + 1049468.

Almost surely, 2^2407991040 is an apocalyptic number.

2407991040 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 2407991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129246304).

2407991040 is an abundant number, since it is smaller than the sum of its proper divisors (7850501568).

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

2407991040 is a wasteful number, since it uses less digits than its factorization.

2407991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2407991040 is about 49071.2852898719. The cubic root of 2407991040 is about 1340.3502166216.

The spelling of 2407991040 in words is "two billion, four hundred seven million, nine hundred ninety-one thousand, forty".