2261750400 has 576 divisors, whose sum is σ = 9944363520. Its totient is φ = 476651520.

The previous prime is 2261750377. The next prime is 2261750429. The reversal of 2261750400 is 40571622.

2261750400 is a `hidden beast` number, since 2 + 2 + 617 + 5 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2620369 + ... + 2621231.

It is an arithmetic number, because the mean of its divisors is an integer number (17264520).

Almost surely, 2^2261750400 is an apocalyptic number.

2261750400 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 2261750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972181760).

2261750400 is an abundant number, since it is smaller than the sum of its proper divisors (7682613120).

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

2261750400 is a wasteful number, since it uses less digits than its factorization.

2261750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2261750400 is about 47557.8637030723. The cubic root of 2261750400 is about 1312.6478309678.

The spelling of 2261750400 in words is "two billion, two hundred sixty-one million, seven hundred fifty thousand, four hundred".