2545162278100 has 144 divisors (see below), whose sum is σ = 5977359518256. Its totient is φ = 935101440000.

The previous prime is 2545162278097. The next prime is 2545162278107. The reversal of 2545162278100 is 18722615452.

2545162278100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 1617785574084 + 927376704016 = 1271922^2 + 963004^2 .

It is a super-2 number, since 2×2545162278100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545162278107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219461502 + ... + 219473098.

It is an arithmetic number, because the mean of its divisors is an integer number (41509441099).

Almost surely, 2^{2545162278100} is an apocalyptic number.

2545162278100 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 2545162278100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988679759128).

2545162278100 is an abundant number, since it is smaller than the sum of its proper divisors (3432197240156).

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

2545162278100 is a wasteful number, since it uses less digits than its factorization.

2545162278100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12446 (or 12439 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 2545162278100 in words is "two trillion, five hundred forty-five billion, one hundred sixty-two million, two hundred seventy-eight thousand, one hundred".