2722670496 has 720 divisors, whose sum is σ = 10730683656. Its totient is φ = 668860416.

The previous prime is 2722670453. The next prime is 2722670519. The reversal of 2722670496 is 6940762272.

2722670496 is a `hidden beast` number, since 2 + 72 + 26 + 70 + 496 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2173424400 + 549246096 = 46620^2 + 23436^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28068720 + ... + 28068816.

Almost surely, 2^2722670496 is an apocalyptic number.

2722670496 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 2722670496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5365341828).

2722670496 is an abundant number, since it is smaller than the sum of its proper divisors (8008013160).

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

2722670496 is a wasteful number, since it uses less digits than its factorization.

2722670496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2722670496 is about 52179.2151723270. The cubic root of 2722670496 is about 1396.3630935944.

The spelling of 2722670496 in words is "two billion, seven hundred twenty-two million, six hundred seventy thousand, four hundred ninety-six".