2779431456 has 96 divisors (see below), whose sum is σ = 7991706240. Its totient is φ = 841895936.

The previous prime is 2779431409. The next prime is 2779431461. The reversal of 2779431456 is 6541349772.

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 (48).

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, 17965 + ... + 76691.

It is an arithmetic number, because the mean of its divisors is an integer number (83246940).

Almost surely, 2^2779431456 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 2779431456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995853120).

2779431456 is an abundant number, since it is smaller than the sum of its proper divisors (5212274784).

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

2779431456 is a wasteful number, since it uses less digits than its factorization.

2779431456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58786 (or 58778 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 2779431456 is about 52720.3135043789. The cubic root of 2779431456 is about 1406.0000067448. Note that the first 5 decimals are identical.

The spelling of 2779431456 in words is "two billion, seven hundred seventy-nine million, four hundred thirty-one thousand, four hundred fifty-six".