2774640120 has 256 divisors, whose sum is σ = 9909043200. Its totient is φ = 608186880.

The previous prime is 2774640067. The next prime is 2774640173. The reversal of 2774640120 is 210464772.

2774640120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2774640067) and next prime (2774640173).

It is a super-2 number, since 2×2774640120² = 15397255591027228800, which contains 22 as substring.

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, 3306661 + ... + 3307499.

It is an arithmetic number, because the mean of its divisors is an integer number (38707200).

Almost surely, 2^2774640120 is an apocalyptic number.

2774640120 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 2774640120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954521600).

2774640120 is an abundant number, since it is smaller than the sum of its proper divisors (7134403080).

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

2774640120 is a wasteful number, since it uses less digits than its factorization.

2774640120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 2774640120 is about 52674.8528237147. The cubic root of 2774640120 is about 1405.1916288145.

The spelling of 2774640120 in words is "two billion, seven hundred seventy-four million, six hundred forty thousand, one hundred twenty".