2692672416 has 192 divisors, whose sum is σ = 9042969600. Its totient is φ = 763561728.

The previous prime is 2692672397. The next prime is 2692672439. The reversal of 2692672416 is 6142762962.

2692672416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 839071 + ... + 842273.

It is an arithmetic number, because the mean of its divisors is an integer number (47098800).

Almost surely, 2^2692672416 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 2692672416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521484800).

2692672416 is an abundant number, since it is smaller than the sum of its proper divisors (6350297184).

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

2692672416 is a wasteful number, since it uses less digits than its factorization.

2692672416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3354 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 2692672416 is about 51890.9666126967. The cubic root of 2692672416 is about 1391.2158187198.

The spelling of 2692672416 in words is "two billion, six hundred ninety-two million, six hundred seventy-two thousand, four hundred sixteen".