2792417706 has 64 divisors (see below), whose sum is σ = 6689760000. Its totient is φ = 858299328.

The previous prime is 2792417701. The next prime is 2792417729. The reversal of 2792417706 is 6077142972.

2792417706 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2792417701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1014420 + ... + 1017168.

It is an arithmetic number, because the mean of its divisors is an integer number (104527500).

Almost surely, 2^2792417706 is an apocalyptic number.

2792417706 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2792417706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344880000).

2792417706 is an abundant number, since it is smaller than the sum of its proper divisors (3897342294).

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

2792417706 is a wasteful number, since it uses less digits than its factorization.

2792417706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4220 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 2792417706 is about 52843.3317079837. The cubic root of 2792417706 is about 1408.1863417314.

The spelling of 2792417706 in words is "two billion, seven hundred ninety-two million, four hundred seventeen thousand, seven hundred six".