2720565029952 has 1008 divisors, whose sum is σ = 10757107670400. Its totient is φ = 665018449920.

The previous prime is 2720565029947. The next prime is 2720565029977. The reversal of 2720565029952 is 2599205650272.

It is a happy number.

2720565029952 is a `hidden beast` number, since 2 + 7 + 2 + 0 + 565 + 0 + 29 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 223927174 + ... + 223939322.

It is an arithmetic number, because the mean of its divisors is an integer number (10671733800).

Almost surely, 2^{2720565029952} is an apocalyptic number.

2720565029952 is a gapful number since it is divisible by the number (22) 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 2720565029952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378553835200).

2720565029952 is an abundant number, since it is smaller than the sum of its proper divisors (8036542640448).

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

2720565029952 is a wasteful number, since it uses less digits than its factorization.

2720565029952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12222 (or 12189 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 2720565029952 in words is "two trillion, seven hundred twenty billion, five hundred sixty-five million, twenty-nine thousand, nine hundred fifty-two".