2235421440 has 432 divisors, whose sum is σ = 9310828800. Its totient is φ = 483729408.

The previous prime is 2235421429. The next prime is 2235421453. The reversal of 2235421440 is 441245322.

2235421440 is a `hidden beast` number, since 2 + 235 + 421 + 4 + 4 + 0 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1531431 + ... + 1532889.

Almost surely, 2^2235421440 is an apocalyptic number.

2235421440 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 2235421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655414400).

2235421440 is an abundant number, since it is smaller than the sum of its proper divisors (7075407360).

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

2235421440 is a wasteful number, since it uses less digits than its factorization.

2235421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2235421440 is about 47280.2436541945. The cubic root of 2235421440 is about 1307.5344413883.

Adding to 2235421440 its reverse (441245322), we get a palindrome (2676666762).

The spelling of 2235421440 in words is "two billion, two hundred thirty-five million, four hundred twenty-one thousand, four hundred forty".