2410248960 has 648 divisors, whose sum is σ = 10137962016. Its totient is φ = 537477120.

The previous prime is 2410248949. The next prime is 2410248983. The reversal of 2410248960 is 698420142.

It is a tau number, because it is divible by the number of its divisors (648).

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

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, 58786540 + ... + 58786580.

Almost surely, 2^2410248960 is an apocalyptic number.

2410248960 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 2410248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068981008).

2410248960 is an abundant number, since it is smaller than the sum of its proper divisors (7727713056).

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

2410248960 is an frugal number, since it uses more digits than its factorization.

2410248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2410248960 is about 49094.2864292781. The cubic root of 2410248960 is about 1340.7690246754.

The spelling of 2410248960 in words is "two billion, four hundred ten million, two hundred forty-eight thousand, nine hundred sixty".