2142767648 has 90 divisors (see below), whose sum is σ = 4951022391. Its totient is φ = 912830016.

The previous prime is 2142767633. The next prime is 2142767677. The reversal of 2142767648 is 8467672412.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1071383824 + 1071383824 = 32732^2 + 32732^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=32732.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12830861 + ... + 12831027.

Almost surely, 2^2142767648 is an apocalyptic number.

2142767648 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 2142767648

2142767648 is an abundant number, since it is smaller than the sum of its proper divisors (2808254743).

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

2142767648 is an frugal number, since it uses more digits than its factorization.

2142767648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 176 counting only the distinct ones).

The product of its digits is 903168, while the sum is 47.

The square root of 2142767648 is about 46290.0383235961. The cubic root of 2142767648 is about 1289.2140411966.

The spelling of 2142767648 in words is "two billion, one hundred forty-two million, seven hundred sixty-seven thousand, six hundred forty-eight".