2123521532440 has 256 divisors, whose sum is σ = 6309287147520. Its totient is φ = 622746378240.

The previous prime is 2123521532357. The next prime is 2123521532459. The reversal of 2123521532440 is 442351253212.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2123521532396 and 2123521532405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302794374 + ... + 302801386.

It is an arithmetic number, because the mean of its divisors is an integer number (24645652920).

Almost surely, 2^{2123521532440} is an apocalyptic number.

2123521532440 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 2123521532440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154643573760).

2123521532440 is an abundant number, since it is smaller than the sum of its proper divisors (4185765615080).

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

2123521532440 is a wasteful number, since it uses less digits than its factorization.

2123521532440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12842 (or 12838 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 2123521532440 its reverse (442351253212), we get a palindrome (2565872785652).

The spelling of 2123521532440 in words is "two trillion, one hundred twenty-three billion, five hundred twenty-one million, five hundred thirty-two thousand, four hundred forty".