2752167427900 has 144 divisors (see below), whose sum is σ = 6743318400000. Its totient is φ = 965772460800.

The previous prime is 2752167427873. The next prime is 2752167427937. The reversal of 2752167427900 is 97247612572.

It is a super-3 number, since 3×2752167427900³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63746521 + ... + 63789679.

It is an arithmetic number, because the mean of its divisors is an integer number (46828600000).

Almost surely, 2^{2752167427900} is an apocalyptic number.

2752167427900 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 2752167427900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371659200000).

2752167427900 is an abundant number, since it is smaller than the sum of its proper divisors (3991150972100).

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

2752167427900 is a wasteful number, since it uses less digits than its factorization.

2752167427900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45212 (or 45205 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 52.

The spelling of 2752167427900 in words is "two trillion, seven hundred fifty-two billion, one hundred sixty-seven million, four hundred twenty-seven thousand, nine hundred".