2602201560 has 256 divisors, whose sum is σ = 9517824000. Its totient is φ = 555589632.

The previous prime is 2602201529. The next prime is 2602201583. The reversal of 2602201560 is 651022062.

2602201560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2602201560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2127109 + ... + 2128331.

It is an arithmetic number, because the mean of its divisors is an integer number (37179000).

Almost surely, 2^2602201560 is an apocalyptic number.

2602201560 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 2602201560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758912000).

2602201560 is an abundant number, since it is smaller than the sum of its proper divisors (6915622440).

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

2602201560 is a wasteful number, since it uses less digits than its factorization.

2602201560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2602201560 is about 51011.7786398396. The cubic root of 2602201560 is about 1375.4568725303.

The spelling of 2602201560 in words is "two billion, six hundred two million, two hundred one thousand, five hundred sixty".