2149104540000 has 480 divisors, whose sum is σ = 7698907560960. Its totient is φ = 520416000000.

The previous prime is 2149104539893. The next prime is 2149104540001. The reversal of 2149104540000 is 454019412.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2149104540000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2149104540000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149104540001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1101539025 + ... + 1101540975.

It is an arithmetic number, because the mean of its divisors is an integer number (16039390752).

Almost surely, 2^{2149104540000} is an apocalyptic number.

2149104540000 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 2149104540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849453780480).

2149104540000 is an abundant number, since it is smaller than the sum of its proper divisors (5549803020960).

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

2149104540000 is a wasteful number, since it uses less digits than its factorization.

2149104540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 2149104540000 its reverse (454019412), we get a palindrome (2149558559412).

The spelling of 2149104540000 in words is "two trillion, one hundred forty-nine billion, one hundred four million, five hundred forty thousand".