2864961792000 has 2304 divisors, whose sum is σ = 13458148704000. Its totient is φ = 594542592000.

The previous prime is 2864961791977. The next prime is 2864961792059. The reversal of 2864961792000 is 2971694682.

2864961792000 is a `hidden beast` number, since 2 + 86 + 496 + 1 + 79 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×2864961792000³ (a number of 38 digits) contains 333 as substring.

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

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, 3725567616 + ... + 3725568384.

It is an arithmetic number, because the mean of its divisors is an integer number (5841210375).

Almost surely, 2^{2864961792000} is an apocalyptic number.

2864961792000 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 2864961792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729074352000).

2864961792000 is an abundant number, since it is smaller than the sum of its proper divisors (10593186912000).

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

2864961792000 is a wasteful number, since it uses less digits than its factorization.

2864961792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2864961792000 in words is "two trillion, eight hundred sixty-four billion, nine hundred sixty-one million, seven hundred ninety-two thousand".