2774824320 has 256 divisors, whose sum is σ = 9443796480. Its totient is φ = 690585600.

The previous prime is 2774824319. The next prime is 2774824321. The reversal of 2774824320 is 234284772.

It is an interprime number because it is at equal distance from previous prime (2774824319) and next prime (2774824321).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2774824321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4928359 + ... + 4928921.

It is an arithmetic number, because the mean of its divisors is an integer number (36889830).

Almost surely, 2^2774824320 is an apocalyptic number.

2774824320 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 2774824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721898240).

2774824320 is an abundant number, since it is smaller than the sum of its proper divisors (6668972160).

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

2774824320 is a wasteful number, since it uses less digits than its factorization.

2774824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The square root of 2774824320 is about 52676.6012571047. The cubic root of 2774824320 is about 1405.2227236063. Note that the first 3 decimals are identical.

The spelling of 2774824320 in words is "two billion, seven hundred seventy-four million, eight hundred twenty-four thousand, three hundred twenty".