2429964472320 has 2496 divisors, whose sum is σ = 11359472762880. Its totient is φ = 486781747200.

The previous prime is 2429964472307. The next prime is 2429964472361. The reversal of 2429964472320 is 232744699242.

It is a happy number.

2429964472320 is a `hidden beast` number, since 2 + 4 + 2 + 99 + 64 + 472 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9239408509 + ... + 9239408771.

Almost surely, 2^{2429964472320} is an apocalyptic number.

2429964472320 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 2429964472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679736381440).

2429964472320 is an abundant number, since it is smaller than the sum of its proper divisors (8929508290560).

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

2429964472320 is a wasteful number, since it uses less digits than its factorization.

2429964472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 2429964472320 in words is "two trillion, four hundred twenty-nine billion, nine hundred sixty-four million, four hundred seventy-two thousand, three hundred twenty".