1242889824 has 192 divisors, whose sum is σ = 3770178048. Its totient is φ = 354816000.

The previous prime is 1242889819. The next prime is 1242889841. The reversal of 1242889824 is 4289882421.

It is a super-2 number, since 2×1242889824² = 3089550229205501952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1772674 + ... + 1773374.

It is an arithmetic number, because the mean of its divisors is an integer number (19636344).

Almost surely, 2^1242889824 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 1242889824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885089024).

1242889824 is an abundant number, since it is smaller than the sum of its proper divisors (2527288224).

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

1242889824 is a wasteful number, since it uses less digits than its factorization.

1242889824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 813 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 1242889824 is about 35254.6425878919. The cubic root of 1242889824 is about 1075.1710054982.

The spelling of 1242889824 in words is "one billion, two hundred forty-two million, eight hundred eighty-nine thousand, eight hundred twenty-four".