2742921216 has 216 divisors, whose sum is σ = 9218492010. Its totient is φ = 783433728.

The previous prime is 2742921193. The next prime is 2742921227. The reversal of 2742921216 is 6121292472.

2742921216 is a `hidden beast` number, since 2 + 7 + 429 + 212 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1907942400 + 834978816 = 43680^2 + 28896^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 901650 + ... + 904686.

Almost surely, 2^2742921216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2742921216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609246005).

2742921216 is an abundant number, since it is smaller than the sum of its proper divisors (6475570794).

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

2742921216 is a wasteful number, since it uses less digits than its factorization.

2742921216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3049 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2742921216 is about 52372.9053614557. The cubic root of 2742921216 is about 1399.8165092852.

The spelling of 2742921216 in words is "two billion, seven hundred forty-two million, nine hundred twenty-one thousand, two hundred sixteen".