2246724889920 has 672 divisors, whose sum is σ = 9314239334400. Its totient is φ = 504825882624.

The previous prime is 2246724889901. The next prime is 2246724889933. The reversal of 2246724889920 is 299884276422.

2246724889920 is a `hidden beast` number, since 2 + 2 + 4 + 67 + 2 + 488 + 9 + 92 + 0 = 666.

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

It is a super-2 number, since 2×2246724889920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32079901 + ... + 32149859.

It is an arithmetic number, because the mean of its divisors is an integer number (13860475200).

Almost surely, 2^{2246724889920} is an apocalyptic number.

2246724889920 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 2246724889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657119667200).

2246724889920 is an abundant number, since it is smaller than the sum of its proper divisors (7067514444480).

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

2246724889920 is an equidigital number, since it uses as much as digits as its factorization.

2246724889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70057 (or 70035 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 2246724889920 in words is "two trillion, two hundred forty-six billion, seven hundred twenty-four million, eight hundred eighty-nine thousand, nine hundred twenty".