2602133142 has 64 divisors (see below), whose sum is σ = 6217344000. Its totient is φ = 725309760.

The previous prime is 2602133137. The next prime is 2602133147. The reversal of 2602133142 is 2413312062.

2602133142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2602133137) and next prime (2602133147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2602133147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68959 + ... + 99797.

It is an arithmetic number, because the mean of its divisors is an integer number (97146000).

Almost surely, 2^2602133142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2602133142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108672000).

2602133142 is an abundant number, since it is smaller than the sum of its proper divisors (3615210858).

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

2602133142 is a wasteful number, since it uses less digits than its factorization.

2602133142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30906 (or 30892 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2602133142 is about 51011.1080256056. The cubic root of 2602133142 is about 1375.4448177592. Note that the first 3 decimals are identical.

The spelling of 2602133142 in words is "two billion, six hundred two million, one hundred thirty-three thousand, one hundred forty-two".