2467632960 has 336 divisors, whose sum is σ = 9680697936. Its totient is φ = 571539456.

The previous prime is 2467632919. The next prime is 2467632967. The reversal of 2467632960 is 692367642.

2467632960 is a `hidden beast` number, since 2 + 4 + 6 + 7 + 632 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 147476736 + 2320156224 = 12144^2 + 48168^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2467632967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 634542 + ... + 638418.

It is an arithmetic number, because the mean of its divisors is an integer number (28811601).

Almost surely, 2^2467632960 is an apocalyptic number.

2467632960 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 2467632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840348968).

2467632960 is an abundant number, since it is smaller than the sum of its proper divisors (7213064976).

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

2467632960 is a wasteful number, since it uses less digits than its factorization.

2467632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 2467632960 is about 49675.2751376376. The cubic root of 2467632960 is about 1351.3261700637.

The spelling of 2467632960 in words is "two billion, four hundred sixty-seven million, six hundred thirty-two thousand, nine hundred sixty".