2750120100 has 810 divisors, whose sum is σ = 11503244214. Its totient is φ = 566092800.

The previous prime is 2750120089. The next prime is 2750120117. The reversal of 2750120100 is 10210572.

It can be written as a sum of positive squares in 9 ways, for example, as 2402372196 + 347747904 = 49014^2 + 18648^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 67076080 + ... + 67076120.

Almost surely, 2^2750120100 is an apocalyptic number.

2750120100 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 2750120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5751622107).

2750120100 is an abundant number, since it is smaller than the sum of its proper divisors (8753124114).

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

2750120100 is a wasteful number, since it uses less digits than its factorization.

2750120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 2750120100 is about 52441.5875045750. The cubic root of 2750120100 is about 1401.0400604807.

Adding to 2750120100 its reverse (10210572), we get a palindrome (2760330672).

The spelling of 2750120100 in words is "two billion, seven hundred fifty million, one hundred twenty thousand, one hundred".