2181079498752 has 1600 divisors, whose sum is σ = 8769777984000. Its totient is φ = 523197480960.

The previous prime is 2181079498747. The next prime is 2181079498811. The reversal of 2181079498752 is 2578949701812.

2181079498752 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 0 + 79 + 498 + 75 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2181079498752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75209637874 + ... + 75209637902.

It is an arithmetic number, because the mean of its divisors is an integer number (5481111240).

Almost surely, 2^{2181079498752} is an apocalyptic number.

2181079498752 is a gapful number since it is divisible by the number (22) 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 2181079498752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384888992000).

2181079498752 is an abundant number, since it is smaller than the sum of its proper divisors (6588698485248).

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

2181079498752 is an frugal number, since it uses more digits than its factorization.

2181079498752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 2181079498752 in words is "two trillion, one hundred eighty-one billion, seventy-nine million, four hundred ninety-eight thousand, seven hundred fifty-two".