2691823680 has 336 divisors, whose sum is σ = 11396496384. Its totient is φ = 567889920.

The previous prime is 2691823669. The next prime is 2691823709. The reversal of 2691823680 is 863281962.

2691823680 = T₂₈₉ + T₂₉₀ + ... + T₂₅₂₈.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256945 + ... + 267215.

It is an arithmetic number, because the mean of its divisors is an integer number (33918144).

Almost surely, 2^2691823680 is an apocalyptic number.

2691823680 is a gapful number since it is divisible by the number (20) 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 2691823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5698248192).

2691823680 is an abundant number, since it is smaller than the sum of its proper divisors (8704672704).

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

2691823680 is a wasteful number, since it uses less digits than its factorization.

2691823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10314 (or 10301 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2691823680 is about 51882.7878973364. The cubic root of 2691823680 is about 1391.0696319767.

The spelling of 2691823680 in words is "two billion, six hundred ninety-one million, eight hundred twenty-three thousand, six hundred eighty".