2734778880 has 240 divisors, whose sum is σ = 9800299080. Its totient is φ = 703954944.

The previous prime is 2734778861. The next prime is 2734778939. The reversal of 2734778880 is 888774372.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2118945024 + 615833856 = 46032^2 + 24816^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666114 + ... + 670206.

Almost surely, 2^2734778880 is an apocalyptic number.

2734778880 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 2734778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900149540).

2734778880 is an abundant number, since it is smaller than the sum of its proper divisors (7065520200).

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

2734778880 is a wasteful number, since it uses less digits than its factorization.

2734778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The square root of 2734778880 is about 52295.1133472335. The cubic root of 2734778880 is about 1398.4300223784.

The spelling of 2734778880 in words is "two billion, seven hundred thirty-four million, seven hundred seventy-eight thousand, eight hundred eighty".