2779464960 has 432 divisors, whose sum is σ = 10213851648. Its totient is φ = 696729600.

The previous prime is 2779464949. The next prime is 2779464971. The reversal of 2779464960 is 694649772.

It is a happy number.

2779464960 is a `hidden beast` number, since 27 + 79 + 464 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2779464949) and next prime (2779464971).

It is a junction number, because it is equal to n+sod(n) for n = 2779464897 and 2779464906.

It is a congruent number.

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, 15356070 + ... + 15356250.

Almost surely, 2^2779464960 is an apocalyptic number.

2779464960 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 2779464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5106925824).

2779464960 is an abundant number, since it is smaller than the sum of its proper divisors (7434386688).

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

2779464960 is a wasteful number, since it uses less digits than its factorization.

2779464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 2779464960 is about 52720.6312557048. The cubic root of 2779464960 is about 1406.0056561537.

The spelling of 2779464960 in words is "two billion, seven hundred seventy-nine million, four hundred sixty-four thousand, nine hundred sixty".