2261604000 has 192 divisors, whose sum is σ = 7450410240. Its totient is φ = 599731200.

The previous prime is 2261603987. The next prime is 2261604031. The reversal of 2261604000 is 4061622.

It is a happy number.

It is a super-2 number, since 2×2261604000² = 10229705305632000000, which contains 22 as substring.

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, 2747589 + ... + 2748411.

It is an arithmetic number, because the mean of its divisors is an integer number (38804220).

Almost surely, 2^2261604000 is an apocalyptic number.

2261604000 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 2261604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725205120).

2261604000 is an abundant number, since it is smaller than the sum of its proper divisors (5188806240).

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

2261604000 is a wasteful number, since it uses less digits than its factorization.

2261604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2261604000 is about 47556.3245005330. The cubic root of 2261604000 is about 1312.6195083923.

Adding to 2261604000 its reverse (4061622), we get a palindrome (2265665622).

The spelling of 2261604000 in words is "two billion, two hundred sixty-one million, six hundred four thousand".