2640021120 has 1024 divisors, whose sum is σ = 11632896000. Its totient is φ = 557383680.

The previous prime is 2640021079. The next prime is 2640021143. The reversal of 2640021120 is 211200462.

2640021120 is a `hidden beast` number, since 2 + 640 + 0 + 2 + 1 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2640021093 and 2640021102.

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, 61395819 + ... + 61395861.

It is an arithmetic number, because the mean of its divisors is an integer number (11360250).

Almost surely, 2^2640021120 is an apocalyptic number.

2640021120 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 2640021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816448000).

2640021120 is an abundant number, since it is smaller than the sum of its proper divisors (8992874880).

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

2640021120 is a wasteful number, since it uses less digits than its factorization.

2640021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2640021120 is about 51381.1358379707. The cubic root of 2640021120 is about 1382.0883315515.

Adding to 2640021120 its reverse (211200462), we get a palindrome (2851221582).

The spelling of 2640021120 in words is "two billion, six hundred forty million, twenty-one thousand, one hundred twenty".