2263001400 has 288 divisors, whose sum is σ = 8517646800. Its totient is φ = 533606400.

The previous prime is 2263001383. The next prime is 2263001407. The reversal of 2263001400 is 41003622.

It is a happy number.

2263001400 is a `hidden beast` number, since 2 + 263 + 0 + 0 + 1 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263001407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 731056 + ... + 734144.

Almost surely, 2^2263001400 is an apocalyptic number.

2263001400 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 2263001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258823400).

2263001400 is an abundant number, since it is smaller than the sum of its proper divisors (6254645400).

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

2263001400 is a wasteful number, since it uses less digits than its factorization.

2263001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2263001400 is about 47571.0142839103. The cubic root of 2263001400 is about 1312.8897998680.

The spelling of 2263001400 in words is "two billion, two hundred sixty-three million, one thousand, four hundred".