2661361500 has 144 divisors (see below), whose sum is σ = 9015420960. Its totient is φ = 608294400.

The previous prime is 2661361499. The next prime is 2661361513. The reversal of 2661361500 is 51631662.

2661361500 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55396 + ... + 91604.

It is an arithmetic number, because the mean of its divisors is an integer number (62607090).

Almost surely, 2^2661361500 is an apocalyptic number.

2661361500 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 2661361500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507710480).

2661361500 is an abundant number, since it is smaller than the sum of its proper divisors (6354059460).

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

2661361500 is a wasteful number, since it uses less digits than its factorization.

2661361500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36245 (or 36226 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2661361500 is about 51588.3853207289. The cubic root of 2661361500 is about 1385.8023389178.

The spelling of 2661361500 in words is "two billion, six hundred sixty-one million, three hundred sixty-one thousand, five hundred".