2602840142224 has 135 divisors (see below), whose sum is σ = 5920084351233. Its totient is φ = 1105377646464.

The previous prime is 2602840142207. The next prime is 2602840142233. The reversal of 2602840142224 is 4222410482062.

The square root of 2602840142224 is 1613332.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 762932371600 + 1839907770624 = 873460^2 + 1356432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7092207289 + ... + 7092207655.

Almost surely, 2^{2602840142224} is an apocalyptic number.

2602840142224 is the 1613332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2602840142224

2602840142224 is an abundant number, since it is smaller than the sum of its proper divisors (3317244209009).

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

2602840142224 is an frugal number, since it uses more digits than its factorization.

2602840142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

The spelling of 2602840142224 in words is "two trillion, six hundred two billion, eight hundred forty million, one hundred forty-two thousand, two hundred twenty-four".