2725019012100 has 864 divisors, whose sum is σ = 10389295042560. Its totient is φ = 544731264000.

The previous prime is 2725019012029. The next prime is 2725019012113. The reversal of 2725019012100 is 12109105272.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 897271782 + ... + 897274818.

It is an arithmetic number, because the mean of its divisors is an integer number (12024647040).

Almost surely, 2^{2725019012100} is an apocalyptic number.

2725019012100 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 2725019012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194647521280).

2725019012100 is an abundant number, since it is smaller than the sum of its proper divisors (7664276030460).

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

2725019012100 is a wasteful number, since it uses less digits than its factorization.

2725019012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 2725019012100 in words is "two trillion, seven hundred twenty-five billion, nineteen million, twelve thousand, one hundred".