2125220240 has 320 divisors, whose sum is σ = 6236600832. Its totient is φ = 662323200.

The previous prime is 2125220219. The next prime is 2125220249. The reversal of 2125220240 is 420225212.

It is a super-2 number, since 2×2125220240² = 9033122137011315200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2125220249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10787822 + ... + 10788018.

Almost surely, 2^2125220240 is an apocalyptic number.

2125220240 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 2125220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118300416).

2125220240 is an abundant number, since it is smaller than the sum of its proper divisors (4111380592).

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

2125220240 is a wasteful number, since it uses less digits than its factorization.

2125220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2125220240 is about 46100.1110627729. Note that the first 3 decimals coincide. The cubic root of 2125220240 is about 1285.6852094071.

Adding to 2125220240 its reverse (420225212), we get a palindrome (2545445452).

The spelling of 2125220240 in words is "two billion, one hundred twenty-five million, two hundred twenty thousand, two hundred forty".