2769103680 has 504 divisors, whose sum is σ = 10755648288. Its totient is φ = 601509888.

The previous prime is 2769103669. The next prime is 2769103703. The reversal of 2769103680 is 863019672.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64397739 + ... + 64397781.

It is an arithmetic number, because the mean of its divisors is an integer number (21340572).

Almost surely, 2^2769103680 is an apocalyptic number.

2769103680 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 2769103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377824144).

2769103680 is an abundant number, since it is smaller than the sum of its proper divisors (7986544608).

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

2769103680 is a wasteful number, since it uses less digits than its factorization.

2769103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 2769103680 is about 52622.2736110860. The cubic root of 2769103680 is about 1404.2563796706.

The spelling of 2769103680 in words is "two billion, seven hundred sixty-nine million, one hundred three thousand, six hundred eighty".