2406587040 has 864 divisors, whose sum is σ = 10359498240. Its totient is φ = 503193600.

The previous prime is 2406587039. The next prime is 2406587047. The reversal of 2406587040 is 407856042.

It is a super-2 number, since 2×2406587040² = 11583322362191923200, which contains 22 as substring.

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 = 2406586986 and 2406587004.

It is not an unprimeable number, because it can be changed into a prime (2406587047) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77631825 + ... + 77631855.

It is an arithmetic number, because the mean of its divisors is an integer number (11990160).

Almost surely, 2^2406587040 is an apocalyptic number.

2406587040 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 2406587040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179749120).

2406587040 is an abundant number, since it is smaller than the sum of its proper divisors (7952911200).

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

2406587040 is a wasteful number, since it uses less digits than its factorization.

2406587040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2406587040 is about 49056.9774853690. The cubic root of 2406587040 is about 1340.0896650477.

The spelling of 2406587040 in words is "two billion, four hundred six million, five hundred eighty-seven thousand, forty".