2602117540 has 96 divisors (see below), whose sum is σ = 6062853888. Its totient is φ = 930240000.

The previous prime is 2602117513. The next prime is 2602117549. The reversal of 2602117540 is 457112062.

It is a junction number, because it is equal to n+sod(n) for n = 2602117499 and 2602117508.

It is not an unprimeable number, because it can be changed into a prime (2602117549) 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, 4021497 + ... + 4022143.

It is an arithmetic number, because the mean of its divisors is an integer number (63154728).

Almost surely, 2^2602117540 is an apocalyptic number.

2602117540 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 2602117540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031426944).

2602117540 is an abundant number, since it is smaller than the sum of its proper divisors (3460736348).

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

2602117540 is a wasteful number, since it uses less digits than its factorization.

2602117540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 2602117540 is about 51010.9550979003. The cubic root of 2602117540 is about 1375.4420687667.

The spelling of 2602117540 in words is "two billion, six hundred two million, one hundred seventeen thousand, five hundred forty".