2692679220 has 384 divisors, whose sum is σ = 10786406400. Its totient is φ = 541209600.

The previous prime is 2692679219. The next prime is 2692679237. The reversal of 2692679220 is 229762962.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1287936 + ... + 1290024.

It is an arithmetic number, because the mean of its divisors is an integer number (28089600).

Almost surely, 2^2692679220 is an apocalyptic number.

2692679220 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 2692679220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393203200).

2692679220 is an abundant number, since it is smaller than the sum of its proper divisors (8093727180).

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

2692679220 is a wasteful number, since it uses less digits than its factorization.

2692679220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2692679220 is about 51891.0321731993. The cubic root of 2692679220 is about 1391.2169905203.

The spelling of 2692679220 in words is "two billion, six hundred ninety-two million, six hundred seventy-nine thousand, two hundred twenty".