2781294432 has 96 divisors (see below), whose sum is σ = 8376141312. Its totient is φ = 791583744.

The previous prime is 2781294421. The next prime is 2781294449. The reversal of 2781294432 is 2344921872.

2781294432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 168868 + ... + 184604.

It is an arithmetic number, because the mean of its divisors is an integer number (87251472).

Almost surely, 2^2781294432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2781294432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188070656).

2781294432 is an abundant number, since it is smaller than the sum of its proper divisors (5594846880).

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

2781294432 is a wasteful number, since it uses less digits than its factorization.

2781294432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16020 (or 16012 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 2781294432 is about 52737.9790284004. The cubic root of 2781294432 is about 1406.3140708862.

The spelling of 2781294432 in words is "two billion, seven hundred eighty-one million, two hundred ninety-four thousand, four hundred thirty-two".