1242319680 has 560 divisors, whose sum is σ = 5204618496. Its totient is φ = 275374080.

The previous prime is 1242319679. The next prime is 1242319697. The reversal of 1242319680 is 869132421.

It is a tau number, because it is divible by the number of its divisors (560).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7438957 + ... + 7439123.

Almost surely, 2^1242319680 is an apocalyptic number.

1242319680 is a gapful number since it is divisible by the number (10) 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 1242319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602309248).

1242319680 is an abundant number, since it is smaller than the sum of its proper divisors (3962298816).

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

1242319680 is a wasteful number, since it uses less digits than its factorization.

1242319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1242319680 is about 35246.5555763964. Note that the first 4 decimals coincide. The cubic root of 1242319680 is about 1075.0065779298.

The spelling of 1242319680 in words is "one billion, two hundred forty-two million, three hundred nineteen thousand, six hundred eighty".