2774993760 has 576 divisors, whose sum is σ = 12227604480. Its totient is φ = 556093440.

The previous prime is 2774993699. The next prime is 2774993791. The reversal of 2774993760 is 673994772.

It is a junction number, because it is equal to n+sod(n) for n = 2774993697 and 2774993706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3215089 + ... + 3215951.

It is an arithmetic number, because the mean of its divisors is an integer number (21228480).

Almost surely, 2^2774993760 is an apocalyptic number.

2774993760 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 2774993760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113802240).

2774993760 is an abundant number, since it is smaller than the sum of its proper divisors (9452610720).

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

2774993760 is a wasteful number, since it uses less digits than its factorization.

2774993760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The square root of 2774993760 is about 52678.2095367715. The cubic root of 2774993760 is about 1405.2513255482.

The spelling of 2774993760 in words is "two billion, seven hundred seventy-four million, nine hundred ninety-three thousand, seven hundred sixty".