2692838064 has 160 divisors (see below), whose sum is σ = 8246329344. Its totient is φ = 740977920.

The previous prime is 2692838053. The next prime is 2692838101. The reversal of 2692838064 is 4608382962.

It is a super-3 number, since 3×2692838064³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2738917 + ... + 2739899.

Almost surely, 2^2692838064 is an apocalyptic number.

2692838064 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 2692838064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123164672).

2692838064 is an abundant number, since it is smaller than the sum of its proper divisors (5553491280).

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

2692838064 is a wasteful number, since it uses less digits than its factorization.

2692838064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 2692838064 is about 51892.5627041101. The cubic root of 2692838064 is about 1391.2443464371.

The spelling of 2692838064 in words is "two billion, six hundred ninety-two million, eight hundred thirty-eight thousand, sixty-four".