2692789064 has 64 divisors (see below), whose sum is σ = 5851023360. Its totient is φ = 1137991680.

The previous prime is 2692789039. The next prime is 2692789091. The reversal of 2692789064 is 4609872962.

It is a super-2 number, since 2×2692789064² = 14502225886395992192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2692788997 and 2692789015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1829849 + ... + 1831319.

It is an arithmetic number, because the mean of its divisors is an integer number (91422240).

Almost surely, 2^2692789064 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 2692789064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925511680).

2692789064 is an abundant number, since it is smaller than the sum of its proper divisors (3158234296).

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

2692789064 is a wasteful number, since it uses less digits than its factorization.

2692789064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The square root of 2692789064 is about 51892.0905726489. The cubic root of 2692789064 is about 1391.2359078326.

It can be divided in two parts, 269 and 2789064, that multiplied together give a triangular number (750258216 = T₃₈₇₃₆).

The spelling of 2692789064 in words is "two billion, six hundred ninety-two million, seven hundred eighty-nine thousand, sixty-four".