21740034240 has 336 divisors, whose sum is σ = 79699396608. Its totient is φ = 5426522112.

The previous prime is 21740034233. The next prime is 21740034257. The reversal of 21740034240 is 4243004712.

21740034240 is a `hidden beast` number, since 2 + 17 + 400 + 3 + 4 + 240 = 666.

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, 3109789 + ... + 3116771.

Almost surely, 2^21740034240 is an apocalyptic number.

21740034240 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 21740034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39849698304).

21740034240 is an abundant number, since it is smaller than the sum of its proper divisors (57959362368).

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

21740034240 is a wasteful number, since it uses less digits than its factorization.

21740034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7076 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 21740034240 its reverse (4243004712), we get a palindrome (25983038952).

The spelling of 21740034240 in words is "twenty-one billion, seven hundred forty million, thirty-four thousand, two hundred forty".