2752687984480 has 96 divisors (see below), whose sum is σ = 7505844575040. Its totient is φ = 934434355200.

The previous prime is 2752687984471. The next prime is 2752687984481. The reversal of 2752687984480 is 844897862572.

It is a super-2 number, since 2×2752687984480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2752687984481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12053995 + ... + 12280234.

It is an arithmetic number, because the mean of its divisors is an integer number (78185880990).

Almost surely, 2^{2752687984480} is an apocalyptic number.

2752687984480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2752687984480 is an abundant number, since it is smaller than the sum of its proper divisors (4753156590560).

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

2752687984480 is a wasteful number, since it uses less digits than its factorization.

2752687984480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24334352 (or 24334344 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 70.

The spelling of 2752687984480 in words is "two trillion, seven hundred fifty-two billion, six hundred eighty-seven million, nine hundred eighty-four thousand, four hundred eighty".