2267025957504 has 448 divisors, whose sum is σ = 8442308566080. Its totient is φ = 588836044800.

The previous prime is 2267025957463. The next prime is 2267025957509. The reversal of 2267025957504 is 4057595207622.

2267025957504 is a `hidden beast` number, since 2 + 2 + 67 + 0 + 2 + 5 + 9 + 575 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2267025957509) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7027264 + ... + 7342784.

Almost surely, 2^{2267025957504} is an apocalyptic number.

2267025957504 is a gapful number since it is divisible by the number (24) 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 2267025957504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221154283040).

2267025957504 is an abundant number, since it is smaller than the sum of its proper divisors (6175282608576).

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

2267025957504 is an equidigital number, since it uses as much as digits as its factorization.

2267025957504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315571 (or 315544 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 2267025957504 in words is "two trillion, two hundred sixty-seven billion, twenty-five million, nine hundred fifty-seven thousand, five hundred four".