2123641498560 has 224 divisors, whose sum is σ = 6891779764800. Its totient is φ = 553840115712.

The previous prime is 2123641498519. The next prime is 2123641498577. The reversal of 2123641498560 is 658941463212.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 15858766 + ... + 15992114.

It is an arithmetic number, because the mean of its divisors is an integer number (30766873950).

Almost surely, 2^{2123641498560} is an apocalyptic number.

2123641498560 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 2123641498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445889882400).

2123641498560 is an abundant number, since it is smaller than the sum of its proper divisors (4768138266240).

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

2123641498560 is a wasteful number, since it uses less digits than its factorization.

2123641498560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133735 (or 133725 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 2123641498560 in words is "two trillion, one hundred twenty-three billion, six hundred forty-one million, four hundred ninety-eight thousand, five hundred sixty".