2661540600 has 96 divisors (see below), whose sum is σ = 8331073920. Its totient is φ = 702837120.

The previous prime is 2661540589. The next prime is 2661540601. The reversal of 2661540600 is 60451662.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661540601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40267 + ... + 83333.

It is an arithmetic number, because the mean of its divisors is an integer number (86782020).

Almost surely, 2^2661540600 is an apocalyptic number.

2661540600 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 2661540600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4165536960).

2661540600 is an abundant number, since it is smaller than the sum of its proper divisors (5669533320).

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

2661540600 is a wasteful number, since it uses less digits than its factorization.

2661540600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43189 (or 43180 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2661540600 is about 51590.1211473670. The cubic root of 2661540600 is about 1385.8334247150.

The spelling of 2661540600 in words is "two billion, six hundred sixty-one million, five hundred forty thousand, six hundred".