2602167040 has 288 divisors, whose sum is σ = 7311306240. Its totient is φ = 877363200.

The previous prime is 2602167037. The next prime is 2602167047. The reversal of 2602167040 is 407612062.

It is not an unprimeable number, because it can be changed into a prime (2602167047) 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, 18993852 + ... + 18993988.

It is an arithmetic number, because the mean of its divisors is an integer number (25386480).

Almost surely, 2^2602167040 is an apocalyptic number.

2602167040 is a gapful number since it is divisible by the number (20) 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 2602167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655653120).

2602167040 is an abundant number, since it is smaller than the sum of its proper divisors (4709139200).

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

2602167040 is a wasteful number, since it uses less digits than its factorization.

2602167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 2602167040 is about 51011.4402854889. The cubic root of 2602167040 is about 1375.4507903751.

The spelling of 2602167040 in words is "two billion, six hundred two million, one hundred sixty-seven thousand, forty".