2125453440 has 256 divisors, whose sum is σ = 7449459840. Its totient is φ = 511180800.

The previous prime is 2125453433. The next prime is 2125453481. The reversal of 2125453440 is 443545212.

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 = 2125453398 and 2125453407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3315520 + ... + 3316160.

Almost surely, 2^2125453440 is an apocalyptic number.

2125453440 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 2125453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724729920).

2125453440 is an abundant number, since it is smaller than the sum of its proper divisors (5324006400).

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

2125453440 is a wasteful number, since it uses less digits than its factorization.

2125453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2125453440 is about 46102.6402714638. The cubic root of 2125453440 is about 1285.7322336824.

Adding to 2125453440 its reverse (443545212), we get a palindrome (2568998652).

The spelling of 2125453440 in words is "two billion, one hundred twenty-five million, four hundred fifty-three thousand, four hundred forty".