2996303346432 has 288 divisors, whose sum is σ = 10174852128000. Its totient is φ = 860182364160.

The previous prime is 2996303346431. The next prime is 2996303346511. The reversal of 2996303346432 is 2346433036992.

It is a happy number.

2996303346432 is a `hidden beast` number, since 2 + 9 + 96 + 30 + 33 + 464 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (2996303346431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407544 + ... + 2481672.

Almost surely, 2^{2996303346432} is an apocalyptic number.

2996303346432 is a gapful number since it is divisible by the number (22) 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 2996303346432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087426064000).

2996303346432 is an abundant number, since it is smaller than the sum of its proper divisors (7178548781568).

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

2996303346432 is a wasteful number, since it uses less digits than its factorization.

2996303346432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074184 (or 2074164 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 54.

The spelling of 2996303346432 in words is "two trillion, nine hundred ninety-six billion, three hundred three million, three hundred forty-six thousand, four hundred thirty-two".