2600016640 has 288 divisors, whose sum is σ = 7124697216. Its totient is φ = 902430720.

The previous prime is 2600016589. The next prime is 2600016659. The reversal of 2600016640 is 466100062.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25242829 + ... + 25242931.

It is an arithmetic number, because the mean of its divisors is an integer number (24738532).

Almost surely, 2^2600016640 is an apocalyptic number.

2600016640 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 2600016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562348608).

2600016640 is an abundant number, since it is smaller than the sum of its proper divisors (4524680576).

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

2600016640 is a wasteful number, since it uses less digits than its factorization.

2600016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2600016640 is about 50990.3583042912. The cubic root of 2600016640 is about 1375.0718005481.

It can be divided in two parts, 26000 and 16640, that multiplied together give a square (432640000 = 20800²).

The spelling of 2600016640 in words is "two billion, six hundred million, sixteen thousand, six hundred forty".