2468370960 has 360 divisors, whose sum is σ = 9435567960. Its totient is φ = 577167360.

The previous prime is 2468370937. The next prime is 2468370979. The reversal of 2468370960 is 690738642.

It can be written as a sum of positive squares in 4 ways, for example, as 783104256 + 1685266704 = 27984^2 + 41052^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2525992 + ... + 2526968.

It is an arithmetic number, because the mean of its divisors is an integer number (26209911).

Almost surely, 2^2468370960 is an apocalyptic number.

2468370960 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 2468370960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717783980).

2468370960 is an abundant number, since it is smaller than the sum of its proper divisors (6967197000).

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

2468370960 is a wasteful number, since it uses less digits than its factorization.

2468370960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2468370960 is about 49682.7028250275. The cubic root of 2468370960 is about 1351.4608712566.

The spelling of 2468370960 in words is "two billion, four hundred sixty-eight million, three hundred seventy thousand, nine hundred sixty".