2816631234720 has 672 divisors, whose sum is σ = 10161208632960. Its totient is φ = 737306634240.

The previous prime is 2816631234713. The next prime is 2816631234737. The reversal of 2816631234720 is 274321366182.

2816631234720 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 631 + 2 + 3 + 4 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 111 ways as a sum of consecutive naturals, for example, 3430731910 + ... + 3430732730.

It is an arithmetic number, because the mean of its divisors is an integer number (15120846180).

Almost surely, 2^{2816631234720} is an apocalyptic number.

2816631234720 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 2816631234720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080604316480).

2816631234720 is an abundant number, since it is smaller than the sum of its proper divisors (7344577398240).

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

2816631234720 is an equidigital number, since it uses as much as digits as its factorization.

2816631234720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2816631234720 in words is "two trillion, eight hundred sixteen billion, six hundred thirty-one million, two hundred thirty-four thousand, seven hundred twenty".