2467200960 has 252 divisors, whose sum is σ = 9872200728. Its totient is φ = 563899392.

The previous prime is 2467200947. The next prime is 2467200997. The reversal of 2467200960 is 690027642.

It is a happy number.

2467200960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

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 35 ways as a sum of consecutive naturals, for example, 132379 + ... + 149861.

Almost surely, 2^2467200960 is an apocalyptic number.

2467200960 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 2467200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4936100364).

2467200960 is an abundant number, since it is smaller than the sum of its proper divisors (7404999768).

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

2467200960 is a wasteful number, since it uses less digits than its factorization.

2467200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17520 (or 17500 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2467200960 is about 49670.9267076828. The cubic root of 2467200960 is about 1351.2473081226.

The spelling of 2467200960 in words is "two billion, four hundred sixty-seven million, two hundred thousand, nine hundred sixty".