2812919840016 has 320 divisors, whose sum is σ = 8868572375040. Its totient is φ = 756822528000.

The previous prime is 2812919840009. The next prime is 2812919840023. The reversal of 2812919840016 is 6100489192182.

It is an interprime number because it is at equal distance from previous prime (2812919840009) and next prime (2812919840023).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19910715 + ... + 20051493.

It is an arithmetic number, because the mean of its divisors is an integer number (27714288672).

Almost surely, 2^{2812919840016} is an apocalyptic number.

2812919840016 is a gapful number since it is divisible by the number (26) 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 2812919840016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434286187520).

2812919840016 is an abundant number, since it is smaller than the sum of its proper divisors (6055652535024).

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

2812919840016 is a wasteful number, since it uses less digits than its factorization.

2812919840016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140926 (or 140920 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The spelling of 2812919840016 in words is "two trillion, eight hundred twelve billion, nine hundred nineteen million, eight hundred forty thousand, sixteen".