2924481466368 has 1248 divisors, whose sum is σ = 11165845386240. Its totient is φ = 747823104000.

The previous prime is 2924481466351. The next prime is 2924481466409. The reversal of 2924481466368 is 8636641844292.

It is a happy number.

2924481466368 is a `hidden beast` number, since 2 + 92 + 4 + 4 + 81 + 466 + 3 + 6 + 8 = 666.

It is a super-2 number, since 2×2924481466368² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4232244903 + ... + 4232245593.

Almost surely, 2^{2924481466368} is an apocalyptic number.

2924481466368 is a gapful number since it is divisible by the number (28) 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 2924481466368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582922693120).

2924481466368 is an abundant number, since it is smaller than the sum of its proper divisors (8241363919872).

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

2924481466368 is a wasteful number, since it uses less digits than its factorization.

2924481466368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 785 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 2924481466368 in words is "two trillion, nine hundred twenty-four billion, four hundred eighty-one million, four hundred sixty-six thousand, three hundred sixty-eight".