2466313920 has 672 divisors, whose sum is σ = 10544421888. Its totient is φ = 536481792.

The previous prime is 2466313919. The next prime is 2466313933. The reversal of 2466313920 is 293136642.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12519262 + ... + 12519458.

It is an arithmetic number, because the mean of its divisors is an integer number (15691104).

Almost surely, 2^2466313920 is an apocalyptic number.

2466313920 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 2466313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272210944).

2466313920 is an abundant number, since it is smaller than the sum of its proper divisors (8078107968).

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

2466313920 is a wasteful number, since it uses less digits than its factorization.

2466313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2466313920 is about 49661.9967379484. The cubic root of 2466313920 is about 1351.0853494081.

It can be divided in two parts, 24663 and 13920, that added together give a palindrome (38583).

The spelling of 2466313920 in words is "two billion, four hundred sixty-six million, three hundred thirteen thousand, nine hundred twenty".