2467642320 has 400 divisors, whose sum is σ = 10072605312. Its totient is φ = 551992320.

The previous prime is 2467642283. The next prime is 2467642321. The reversal of 2467642320 is 232467642.

2467642320 is a `hidden beast` number, since 2 + 4 + 6 + 7 + 642 + 3 + 2 + 0 = 666.

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 (2467642321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 925309 + ... + 927971.

Almost surely, 2^2467642320 is an apocalyptic number.

2467642320 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 2467642320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5036302656).

2467642320 is an abundant number, since it is smaller than the sum of its proper divisors (7604962992).

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

2467642320 is a wasteful number, since it uses less digits than its factorization.

2467642320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2467642320 is about 49675.3693494070. The cubic root of 2467642320 is about 1351.3278786372.

The spelling of 2467642320 in words is "two billion, four hundred sixty-seven million, six hundred forty-two thousand, three hundred twenty".