2273410800 has 360 divisors, whose sum is σ = 8619170560. Its totient is φ = 573868800.

The previous prime is 2273410793. The next prime is 2273410847. The reversal of 2273410800 is 80143722.

2273410800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1846185 + ... + 1847415.

Almost surely, 2^2273410800 is an apocalyptic number.

2273410800 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 2273410800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309585280).

2273410800 is an abundant number, since it is smaller than the sum of its proper divisors (6345759760).

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

2273410800 is a wasteful number, since it uses less digits than its factorization.

2273410800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2273410800 is about 47680.2978178618. The cubic root of 2273410800 is about 1314.8997403164.

The spelling of 2273410800 in words is "two billion, two hundred seventy-three million, four hundred ten thousand, eight hundred".