2774661120 has 1152 divisors, whose sum is σ = 13246571520. Its totient is φ = 519045120.

The previous prime is 2774661119. The next prime is 2774661133. The reversal of 2774661120 is 211664772.

2774661120 is a `hidden beast` number, since 2 + 77 + 466 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 120637429 + ... + 120637451.

It is an arithmetic number, because the mean of its divisors is an integer number (11498760).

Almost surely, 2^2774661120 is an apocalyptic number.

2774661120 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 2774661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6623285760).

2774661120 is an abundant number, since it is smaller than the sum of its proper divisors (10471910400).

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

2774661120 is a wasteful number, since it uses less digits than its factorization.

2774661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2774661120 is about 52675.0521594426. The cubic root of 2774661120 is about 1405.1951738928.

The spelling of 2774661120 in words is "two billion, seven hundred seventy-four million, six hundred sixty-one thousand, one hundred twenty".