2267825400 has 72 divisors (see below), whose sum is σ = 7616119680. Its totient is φ = 604752960.

The previous prime is 2267825387. The next prime is 2267825401. The reversal of 2267825400 is 45287622.

2267825400 is a `hidden beast` number, since 226 + 7 + 8 + 25 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2267825401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 628152 + ... + 631751.

It is an arithmetic number, because the mean of its divisors is an integer number (105779440).

Almost surely, 2^2267825400 is an apocalyptic number.

2267825400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2267825400 is an abundant number, since it is smaller than the sum of its proper divisors (5348294280).

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

2267825400 is a wasteful number, since it uses less digits than its factorization.

2267825400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259925 (or 1259913 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2267825400 is about 47621.6904361867. The cubic root of 2267825400 is about 1313.8220257554.

The spelling of 2267825400 in words is "two billion, two hundred sixty-seven million, eight hundred twenty-five thousand, four hundred".