2906495778816 has 1080 divisors, whose sum is σ = 10443009565296. Its totient is φ = 802632499200.

The previous prime is 2906495778811. The next prime is 2906495778859. The reversal of 2906495778816 is 6188775946092.

2906495778816 is a `hidden beast` number, since 2 + 9 + 0 + 6 + 49 + 577 + 8 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2906495778811) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19248316341 + ... + 19248316491.

Almost surely, 2^{2906495778816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2906495778816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221504782648).

2906495778816 is an abundant number, since it is smaller than the sum of its proper divisors (7536513786480).

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

2906495778816 is an frugal number, since it uses more digits than its factorization.

2906495778816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 2906495778816 in words is "two trillion, nine hundred six billion, four hundred ninety-five million, seven hundred seventy-eight thousand, eight hundred sixteen".