2816095740480 has 784 divisors, whose sum is σ = 11322286898688. Its totient is φ = 660648960000.

The previous prime is 2816095740431. The next prime is 2816095740481. The reversal of 2816095740480 is 840475906182.

It is a happy number.

2816095740480 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 0 + 95 + 74 + 0 + 480 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (2816095740481) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 79530780 + ... + 79566180.

Almost surely, 2^{2816095740480} is an apocalyptic number.

2816095740480 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 2816095740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5661143449344).

2816095740480 is an abundant number, since it is smaller than the sum of its proper divisors (8506191158208).

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

2816095740480 is a wasteful number, since it uses less digits than its factorization.

2816095740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35478 (or 35453 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2816095740480 in words is "two trillion, eight hundred sixteen billion, ninety-five million, seven hundred forty thousand, four hundred eighty".