2742121648 has 80 divisors (see below), whose sum is σ = 6403518720. Its totient is φ = 1111235328.

The previous prime is 2742121633. The next prime is 2742121687. The reversal of 2742121648 is 8461212472.

It is a super-2 number, since 2×2742121648² = 15038462264860471808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1644111 + ... + 1645777.

It is an arithmetic number, because the mean of its divisors is an integer number (80043984).

Almost surely, 2^2742121648 is an apocalyptic number.

2742121648 is a gapful number since it is divisible by the number (28) 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 2742121648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201759360).

2742121648 is an abundant number, since it is smaller than the sum of its proper divisors (3661397072).

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

2742121648 is a wasteful number, since it uses less digits than its factorization.

2742121648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2468 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The square root of 2742121648 is about 52365.2713924028. The cubic root of 2742121648 is about 1399.6804794627.

The spelling of 2742121648 in words is "two billion, seven hundred forty-two million, one hundred twenty-one thousand, six hundred forty-eight".