2235264227000 has 256 divisors, whose sum is σ = 6476576071680. Its totient is φ = 704519424000.

The previous prime is 2235264226963. The next prime is 2235264227029. The reversal of 2235264227000 is 7224625322.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4898585 + ... + 5335415.

It is an arithmetic number, because the mean of its divisors is an integer number (25299125280).

Almost surely, 2^{2235264227000} is an apocalyptic number.

2235264227000 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 2235264227000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238288035840).

2235264227000 is an abundant number, since it is smaller than the sum of its proper divisors (4241311844680).

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

2235264227000 is a wasteful number, since it uses less digits than its factorization.

2235264227000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436919 (or 436905 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The spelling of 2235264227000 in words is "two trillion, two hundred thirty-five billion, two hundred sixty-four million, two hundred twenty-seven thousand".