2752002117160 has 64 divisors (see below), whose sum is σ = 6556588578000. Its totient is φ = 1035992825856.

The previous prime is 2752002117131. The next prime is 2752002117203. The reversal of 2752002117160 is 617112002572.

It can be written as a sum of positive squares in 8 ways, for example, as 1858897735396 + 893104381764 = 1363414^2 + 945042^2 .

It is a super-3 number, since 3×2752002117160³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14080264 + ... + 14274376.

Almost surely, 2^{2752002117160} is an apocalyptic number.

2752002117160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2752002117160 is an abundant number, since it is smaller than the sum of its proper divisors (3804586460840).

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

2752002117160 is a wasteful number, since it uses less digits than its factorization.

2752002117160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214990 (or 214986 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The spelling of 2752002117160 in words is "two trillion, seven hundred fifty-two billion, two million, one hundred seventeen thousand, one hundred sixty".