2753232204240 has 560 divisors, whose sum is σ = 11107552166400. Its totient is φ = 621336987648.

The previous prime is 2753232204211. The next prime is 2753232204251. The reversal of 2753232204240 is 424022323572.

2753232204240 is a `hidden beast` number, since 2 + 7 + 5 + 3 + 2 + 3 + 220 + 424 + 0 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2753232204195 and 2753232204204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 32208276 + ... + 32293644.

Almost surely, 2^{2753232204240} is an apocalyptic number.

2753232204240 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 2753232204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553776083200).

2753232204240 is an abundant number, since it is smaller than the sum of its proper divisors (8354319962160).

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

2753232204240 is an equidigital number, since it uses as much as digits as its factorization.

2753232204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85486 (or 85465 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The spelling of 2753232204240 in words is "two trillion, seven hundred fifty-three billion, two hundred thirty-two million, two hundred four thousand, two hundred forty".