1240093824 has 128 divisors (see below), whose sum is σ = 3587544000. Its totient is φ = 378040320.

The previous prime is 1240093819. The next prime is 1240093847. The reversal of 1240093824 is 4283900421.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208654 + ... + 214514.

Almost surely, 2^1240093824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1240093824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793772000).

1240093824 is an abundant number, since it is smaller than the sum of its proper divisors (2347450176).

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

1240093824 is a wasteful number, since it uses less digits than its factorization.

1240093824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1240093824 is about 35214.9659093971. The cubic root of 1240093824 is about 1074.3641667038.

The spelling of 1240093824 in words is "one billion, two hundred forty million, ninety-three thousand, eight hundred twenty-four".