2770742304 has 288 divisors, whose sum is σ = 9000875520. Its totient is φ = 800870400.

The previous prime is 2770742287. The next prime is 2770742323. The reversal of 2770742304 is 4032470772.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8740354 + ... + 8740670.

It is an arithmetic number, because the mean of its divisors is an integer number (31253040).

Almost surely, 2^2770742304 is an apocalyptic number.

2770742304 is a gapful number since it is divisible by the number (24) 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 2770742304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500437760).

2770742304 is an abundant number, since it is smaller than the sum of its proper divisors (6230133216).

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

2770742304 is a wasteful number, since it uses less digits than its factorization.

2770742304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 2770742304 is about 52637.8409891591. The cubic root of 2770742304 is about 1404.5333157887.

It can be divided in two parts, 277074 and 2304, that added together give a triangular number (279378 = T₇₄₇).

The spelling of 2770742304 in words is "two billion, seven hundred seventy million, seven hundred forty-two thousand, three hundred four".