2468007360 has 896 divisors, whose sum is σ = 11115202560. Its totient is φ = 501645312.

The previous prime is 2468007319. The next prime is 2468007361. The reversal of 2468007360 is 637008642.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468007361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33808284 + ... + 33808356.

It is an arithmetic number, because the mean of its divisors is an integer number (12405360).

Almost surely, 2^2468007360 is an apocalyptic number.

2468007360 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 2468007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557601280).

2468007360 is an abundant number, since it is smaller than the sum of its proper divisors (8647195200).

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

2468007360 is a wasteful number, since it uses less digits than its factorization.

2468007360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2468007360 is about 49679.0434690524. The cubic root of 2468007360 is about 1351.3945096345.

The spelling of 2468007360 in words is "two billion, four hundred sixty-eight million, seven thousand, three hundred sixty".