2120531020224 has 112 divisors (see below), whose sum is σ = 5668267088640. Its totient is φ = 699582781440.

The previous prime is 2120531020213. The next prime is 2120531020243. The reversal of 2120531020224 is 4220201350212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2120531020194 and 2120531020203.

It is a congruent number.

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, 35784732 + ... + 35843940.

Almost surely, 2^{2120531020224} is an apocalyptic number.

2120531020224 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 2120531020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834133544320).

2120531020224 is an abundant number, since it is smaller than the sum of its proper divisors (3547736068416).

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

2120531020224 is a wasteful number, since it uses less digits than its factorization.

2120531020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61138 (or 61128 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 2120531020224 its reverse (4220201350212), we get a palindrome (6340732370436).

The spelling of 2120531020224 in words is "two trillion, one hundred twenty billion, five hundred thirty-one million, twenty thousand, two hundred twenty-four".