2234761200 has 180 divisors, whose sum is σ = 8863233808. Its totient is φ = 510796800.

The previous prime is 2234761157. The next prime is 2234761223. The reversal of 2234761200 is 21674322.

2234761200 is a `hidden beast` number, since 2 + 2 + 3 + 47 + 612 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19141 + ... + 69540.

Almost surely, 2^2234761200 is an apocalyptic number.

2234761200 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 2234761200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431616904).

2234761200 is an abundant number, since it is smaller than the sum of its proper divisors (6628472608).

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

2234761200 is a wasteful number, since it uses less digits than its factorization.

2234761200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88712 (or 88698 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2234761200 is about 47273.2609410436. The cubic root of 2234761200 is about 1307.4057003331.

It can be divided in two parts, 223476 and 1200, that added together give a square (224676 = 474²).

The spelling of 2234761200 in words is "two billion, two hundred thirty-four million, seven hundred sixty-one thousand, two hundred".