2153335224040 has 512 divisors, whose sum is σ = 6810880204800. Its totient is φ = 590944112640.

The previous prime is 2153335223981. The next prime is 2153335224083. The reversal of 2153335224040 is 404225333512.

It is a junction number, because it is equal to n+sod(n) for n = 2153335223987 and 2153335224005.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96365109 + ... + 96387451.

It is an arithmetic number, because the mean of its divisors is an integer number (13302500400).

Almost surely, 2^{2153335224040} is an apocalyptic number.

2153335224040 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 2153335224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405440102400).

2153335224040 is an abundant number, since it is smaller than the sum of its proper divisors (4657544980760).

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

2153335224040 is a wasteful number, since it uses less digits than its factorization.

2153335224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22497 (or 22493 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

The spelling of 2153335224040 in words is "two trillion, one hundred fifty-three billion, three hundred thirty-five million, two hundred twenty-four thousand, forty".