2753962345456 has 160 divisors (see below), whose sum is σ = 6244023356928. Its totient is φ = 1152324817920.

The previous prime is 2753962345427. The next prime is 2753962345471. The reversal of 2753962345456 is 6545432693572.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a junction number, because it is equal to n+sod(n) for n = 2753962345394 and 2753962345403.

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, 1589129166 + ... + 1589130898.

Almost surely, 2^{2753962345456} 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 2753962345456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122011678464).

2753962345456 is an abundant number, since it is smaller than the sum of its proper divisors (3490061011472).

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

2753962345456 is a wasteful number, since it uses less digits than its factorization.

2753962345456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3393 counting only the distinct ones).

The product of its digits is 163296000, while the sum is 61.

The spelling of 2753962345456 in words is "two trillion, seven hundred fifty-three billion, nine hundred sixty-two million, three hundred forty-five thousand, four hundred fifty-six".