2406363960 has 768 divisors, whose sum is σ = 10321551360. Its totient is φ = 434903040.

The previous prime is 2406363959. The next prime is 2406364007. The reversal of 2406363960 is 693636042.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35915847 + ... + 35915913.

It is an arithmetic number, because the mean of its divisors is an integer number (13439520).

Almost surely, 2^2406363960 is an apocalyptic number.

2406363960 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 2406363960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160775680).

2406363960 is an abundant number, since it is smaller than the sum of its proper divisors (7915187400).

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

2406363960 is a wasteful number, since it uses less digits than its factorization.

2406363960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The square root of 2406363960 is about 49054.7037499973. The cubic root of 2406363960 is about 1340.0482569686.

The spelling of 2406363960 in words is "two billion, four hundred six million, three hundred sixty-three thousand, nine hundred sixty".