2790706464 has 216 divisors, whose sum is σ = 9822339072. Its totient is φ = 735920640.

The previous prime is 2790706441. The next prime is 2790706487. The reversal of 2790706464 is 4646070972.

It is an interprime number because it is at equal distance from previous prime (2790706441) and next prime (2790706487).

It is a super-2 number, since 2×2790706464² = 15576085136422766592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 336609 + ... + 344799.

It is an arithmetic number, because the mean of its divisors is an integer number (45473792).

Almost surely, 2^2790706464 is an apocalyptic number.

2790706464 is a gapful number since it is divisible by the number (24) 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 2790706464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911169536).

2790706464 is an abundant number, since it is smaller than the sum of its proper divisors (7031632608).

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

2790706464 is a wasteful number, since it uses less digits than its factorization.

2790706464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8240 (or 8216 counting only the distinct ones).

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

The square root of 2790706464 is about 52827.1375715172. The cubic root of 2790706464 is about 1407.8986292807.

The spelling of 2790706464 in words is "two billion, seven hundred ninety million, seven hundred six thousand, four hundred sixty-four".