2774429280 has 384 divisors, whose sum is σ = 11583129600. Its totient is φ = 606431232.

The previous prime is 2774429279. The next prime is 2774429311. The reversal of 2774429280 is 829244772.

2774429280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 693526 + ... + 697514.

It is an arithmetic number, because the mean of its divisors is an integer number (30164400).

Almost surely, 2^2774429280 is an apocalyptic number.

2774429280 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 2774429280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791564800).

2774429280 is an abundant number, since it is smaller than the sum of its proper divisors (8808700320).

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

2774429280 is a wasteful number, since it uses less digits than its factorization.

2774429280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2774429280 is about 52672.8514511983. The cubic root of 2774429280 is about 1405.1560352366.

The spelling of 2774429280 in words is "two billion, seven hundred seventy-four million, four hundred twenty-nine thousand, two hundred eighty".