2205425371968 has 672 divisors, whose sum is σ = 8117030288640. Its totient is φ = 581587568640.

The previous prime is 2205425371967. The next prime is 2205425371969. The reversal of 2205425371968 is 8691735245022.

2205425371968 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 42 + 537 + 1 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (2205425371967) and next prime (2205425371969).

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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205425371967) 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, 239169598 + ... + 239178818.

It is an arithmetic number, because the mean of its divisors is an integer number (12078914120).

It is a 1-persistent number, because it is pandigital, but 2⋅2205425371968 = 4410850743936 is not.

Almost surely, 2^{2205425371968} is an apocalyptic number.

2205425371968 is a gapful number since it is divisible by the number (28) 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 2205425371968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058515144320).

2205425371968 is an abundant number, since it is smaller than the sum of its proper divisors (5911604916672).

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

2205425371968 is an frugal number, since it uses more digits than its factorization.

2205425371968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9294 (or 9246 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2205425371968 in words is "two trillion, two hundred five billion, four hundred twenty-five million, three hundred seventy-one thousand, nine hundred sixty-eight".