2661445200 has 240 divisors, whose sum is σ = 9078543936. Its totient is φ = 664166400.

The previous prime is 2661445123. The next prime is 2661445223. The reversal of 2661445200 is 25441662.

It is a tau number, because it is divible by the number of its divisors (240).

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, 5772970 + ... + 5773430.

Almost surely, 2^2661445200 is an apocalyptic number.

2661445200 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 2661445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539271968).

2661445200 is an abundant number, since it is smaller than the sum of its proper divisors (6417098736).

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

2661445200 is a wasteful number, since it uses less digits than its factorization.

2661445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2661445200 is about 51589.1965434625. The cubic root of 2661445200 is about 1385.8168666247.

Adding to 2661445200 its reverse (25441662), we get a palindrome (2686886862).

The spelling of 2661445200 in words is "two billion, six hundred sixty-one million, four hundred forty-five thousand, two hundred".