2231817392640 has 640 divisors, whose sum is σ = 8102094004224. Its totient is φ = 523519180800.

The previous prime is 2231817392639. The next prime is 2231817392647. The reversal of 2231817392640 is 462937181322.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×2231817392640³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2231817392640.

It is not an unprimeable number, because it can be changed into a prime (2231817392647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316880959 + ... + 316888001.

Almost surely, 2^{2231817392640} is an apocalyptic number.

2231817392640 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 2231817392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051047002112).

2231817392640 is an abundant number, since it is smaller than the sum of its proper divisors (5870276611584).

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

2231817392640 is an equidigital number, since it uses as much as digits as its factorization.

2231817392640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7133 (or 7095 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 2231817392640 in words is "two trillion, two hundred thirty-one billion, eight hundred seventeen million, three hundred ninety-two thousand, six hundred forty".