2999348352000 has 5280 divisors, whose sum is σ = 15942831480576. Its totient is φ = 541458432000.

The previous prime is 2999348351981. The next prime is 2999348352029. The reversal of 2999348352000 is 2538439992.

2999348352000 is a `hidden beast` number, since 2 + 9 + 9 + 9 + 34 + 83 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a super-4 number, since 4×2999348352000⁴ (a number of 51 digits) contains 4444 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 176432255992 + ... + 176432256008.

Almost surely, 2^{2999348352000} is an apocalyptic number.

2999348352000 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 2999348352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7971415740288).

2999348352000 is an abundant number, since it is smaller than the sum of its proper divisors (12943483128576).

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

2999348352000 is a wasteful number, since it uses less digits than its factorization.

2999348352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 2999348352000 in words is "two trillion, nine hundred ninety-nine billion, three hundred forty-eight million, three hundred fifty-two thousand".