2153269142784 has 864 divisors, whose sum is σ = 7173980835840. Its totient is φ = 640991232000.

The previous prime is 2153269142779. The next prime is 2153269142789. The reversal of 2153269142784 is 4872419623512.

It is a happy number.

2153269142784 is a `hidden beast` number, since 2 + 1 + 53 + 2 + 6 + 91 + 427 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (2153269142779) and next prime (2153269142789).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2153269142784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153269142789) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1870780609 + ... + 1870781759.

It is an arithmetic number, because the mean of its divisors is an integer number (8303218560).

Almost surely, 2^{2153269142784} is an apocalyptic number.

2153269142784 is a gapful number since it is divisible by the number (24) 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 2153269142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586990417920).

2153269142784 is an abundant number, since it is smaller than the sum of its proper divisors (5020711693056).

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

2153269142784 is a wasteful number, since it uses less digits than its factorization.

2153269142784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1263 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 2153269142784 in words is "two trillion, one hundred fifty-three billion, two hundred sixty-nine million, one hundred forty-two thousand, seven hundred eighty-four".