2236268126400 has 672 divisors, whose sum is σ = 9302336040960. Its totient is φ = 456798720000.

The previous prime is 2236268126369. The next prime is 2236268126401. The reversal of 2236268126400 is 46218626322.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2236268126401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21755125 + ... + 21857675.

Almost surely, 2^{2236268126400} is an apocalyptic number.

2236268126400 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 2236268126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651168020480).

2236268126400 is an abundant number, since it is smaller than the sum of its proper divisors (7066067914560).

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

2236268126400 is a wasteful number, since it uses less digits than its factorization.

2236268126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102653 (or 102638 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 2236268126400 in words is "two trillion, two hundred thirty-six billion, two hundred sixty-eight million, one hundred twenty-six thousand, four hundred".