1240009680 has 240 divisors, whose sum is σ = 4816191744. Its totient is φ = 261596160.

The previous prime is 1240009679. The next prime is 1240009723. The reversal of 1240009680 is 869000421.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148825 + ... + 156935.

Almost surely, 2^1240009680 is an apocalyptic number.

1240009680 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 1240009680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408095872).

1240009680 is an abundant number, since it is smaller than the sum of its proper divisors (3576182064).

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

1240009680 is a wasteful number, since it uses less digits than its factorization.

1240009680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8154 (or 8141 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1240009680 is about 35213.7711698137. The cubic root of 1240009680 is about 1074.3398665685.

The spelling of 1240009680 in words is "one billion, two hundred forty million, nine thousand, six hundred eighty".