2738433880 has 256 divisors, whose sum is σ = 7838208000. Its totient is φ = 838176768.

The previous prime is 2738433871. The next prime is 2738433913. The reversal of 2738433880 is 883348372.

2738433880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2738433880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25592787 + ... + 25592893.

It is an arithmetic number, because the mean of its divisors is an integer number (30618000).

Almost surely, 2^2738433880 is an apocalyptic number.

2738433880 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 2738433880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919104000).

2738433880 is an abundant number, since it is smaller than the sum of its proper divisors (5099774120).

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

2738433880 is a wasteful number, since it uses less digits than its factorization.

2738433880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The square root of 2738433880 is about 52330.0475826269. The cubic root of 2738433880 is about 1399.0527401675.

The spelling of 2738433880 in words is "two billion, seven hundred thirty-eight million, four hundred thirty-three thousand, eight hundred eighty".