2769742080 has 432 divisors, whose sum is σ = 11338803840. Its totient is φ = 627167232.

The previous prime is 2769742069. The next prime is 2769742093. The reversal of 2769742080 is 802479672.

It is a tau number, because it is divible by the number of its divisors (432).

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, 25885387 + ... + 25885493.

Almost surely, 2^2769742080 is an apocalyptic number.

2769742080 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 2769742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669401920).

2769742080 is an abundant number, since it is smaller than the sum of its proper divisors (8569061760).

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

2769742080 is an equidigital number, since it uses as much as digits as its factorization.

2769742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2769742080 is about 52628.3391339685. The cubic root of 2769742080 is about 1404.3642856325.

The spelling of 2769742080 in words is "two billion, seven hundred sixty-nine million, seven hundred forty-two thousand, eighty".