2120258640 has 320 divisors, whose sum is σ = 7302389760. Its totient is φ = 506787840.

The previous prime is 2120258627. The next prime is 2120258641. The reversal of 2120258640 is 468520212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2120258598 and 2120258607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120258641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7491939 + ... + 7492221.

It is an arithmetic number, because the mean of its divisors is an integer number (22819968).

Almost surely, 2^2120258640 is an apocalyptic number.

2120258640 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 2120258640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651194880).

2120258640 is an abundant number, since it is smaller than the sum of its proper divisors (5182131120).

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

2120258640 is a wasteful number, since it uses less digits than its factorization.

2120258640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2120258640 is about 46046.2662981484. The cubic root of 2120258640 is about 1284.6838972755.

Adding to 2120258640 its reverse (468520212), we get a palindrome (2588778852).

The spelling of 2120258640 in words is "two billion, one hundred twenty million, two hundred fifty-eight thousand, six hundred forty".