2153024441540 has 192 divisors, whose sum is σ = 5406122373120. Its totient is φ = 704737566720.

The previous prime is 2153024441479. The next prime is 2153024441569. The reversal of 2153024441540 is 451444203512.

It is a happy number.

It is a super-3 number, since 3×2153024441540³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2153024441540.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 176514722 + ... + 176526918.

It is an arithmetic number, because the mean of its divisors is an integer number (28156887360).

Almost surely, 2^{2153024441540} is an apocalyptic number.

2153024441540 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 2153024441540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703061186560).

2153024441540 is an abundant number, since it is smaller than the sum of its proper divisors (3253097931580).

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

2153024441540 is a wasteful number, since it uses less digits than its factorization.

2153024441540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12790 (or 12788 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 2153024441540 in words is "two trillion, one hundred fifty-three billion, twenty-four million, four hundred forty-one thousand, five hundred forty".