2197858561920 has 1536 divisors, whose sum is σ = 9624860743680. Its totient is φ = 467820085248.

The previous prime is 2197858561879. The next prime is 2197858561939. The reversal of 2197858561920 is 291658587912.

2197858561920 is a `hidden beast` number, since 2 + 1 + 9 + 7 + 8 + 5 + 8 + 5 + 619 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1906208064 + ... + 1906209216.

It is an arithmetic number, because the mean of its divisors is an integer number (6266185380).

Almost surely, 2^{2197858561920} is an apocalyptic number.

2197858561920 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 2197858561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812430371840).

2197858561920 is an abundant number, since it is smaller than the sum of its proper divisors (7427002181760).

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

2197858561920 is a wasteful number, since it uses less digits than its factorization.

2197858561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 2197858561920 in words is "two trillion, one hundred ninety-seven billion, eight hundred fifty-eight million, five hundred sixty-one thousand, nine hundred twenty".