2153404414240 has 96 divisors (see below), whose sum is σ = 5312772218880. Its totient is φ = 823265270784.

The previous prime is 2153404414199. The next prime is 2153404414297. The reversal of 2153404414240 is 424144043512.

It is a junction number, because it is equal to n+sod(n) for n = 2153404414196 and 2153404414205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4477962 + ... + 4935478.

It is an arithmetic number, because the mean of its divisors is an integer number (55341377280).

Almost surely, 2^{2153404414240} is an apocalyptic number.

2153404414240 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 2153404414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656386109440).

2153404414240 is an abundant number, since it is smaller than the sum of its proper divisors (3159367804640).

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

2153404414240 is a wasteful number, since it uses less digits than its factorization.

2153404414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458834 (or 458826 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 2153404414240 its reverse (424144043512), we get a palindrome (2577548457752).

The spelling of 2153404414240 in words is "two trillion, one hundred fifty-three billion, four hundred four million, four hundred fourteen thousand, two hundred forty".