2153020227840 has 360 divisors, whose sum is σ = 7720711329408. Its totient is φ = 572885913600.

The previous prime is 2153020227833. The next prime is 2153020227877. The reversal of 2153020227840 is 487220203512.

2153020227840 is a `hidden beast` number, since 2 + 1 + 530 + 20 + 2 + 27 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2153020227840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2153020227795 and 2153020227804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47981415 + ... + 48026265.

Almost surely, 2^{2153020227840} is an apocalyptic number.

2153020227840 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 2153020227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860355664704).

2153020227840 is an abundant number, since it is smaller than the sum of its proper divisors (5567691101568).

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

2153020227840 is an equidigital number, since it uses as much as digits as its factorization.

2153020227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45347 (or 45324 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 2153020227840 in words is "two trillion, one hundred fifty-three billion, twenty million, two hundred twenty-seven thousand, eight hundred forty".