2600015880 has 512 divisors, whose sum is σ = 10417766400. Its totient is φ = 503193600.

The previous prime is 2600015843. The next prime is 2600015881. The reversal of 2600015880 is 885100062.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2600015881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8306604 + ... + 8306916.

It is an arithmetic number, because the mean of its divisors is an integer number (20347200).

Almost surely, 2^2600015880 is an apocalyptic number.

2600015880 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 2600015880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208883200).

2600015880 is an abundant number, since it is smaller than the sum of its proper divisors (7817750520).

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

2600015880 is a wasteful number, since it uses less digits than its factorization.

2600015880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 2600015880 is about 50990.3508519014. The cubic root of 2600015880 is about 1375.0716665676.

The spelling of 2600015880 in words is "two billion, six hundred million, fifteen thousand, eight hundred eighty".