2257103012076 has 144 divisors (see below), whose sum is σ = 6241122171648. Its totient is φ = 682105449600.

The previous prime is 2257103012071. The next prime is 2257103012077. The reversal of 2257103012076 is 6702103017522.

2257103012076 is a `hidden beast` number, since 2 + 2 + 571 + 0 + 3 + 0 + 12 + 0 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2257103012076.

It is not an unprimeable number, because it can be changed into a prime (2257103012071) 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, 516143026 + ... + 516147398.

It is an arithmetic number, because the mean of its divisors is an integer number (43341126192).

Almost surely, 2^{2257103012076} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257103012076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120561085824).

2257103012076 is an abundant number, since it is smaller than the sum of its proper divisors (3984019159572).

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

2257103012076 is a wasteful number, since it uses less digits than its factorization.

2257103012076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7652 (or 7647 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 2257103012076 its reverse (6702103017522), we get a palindrome (8959206029598).

The spelling of 2257103012076 in words is "two trillion, two hundred fifty-seven billion, one hundred three million, twelve thousand, seventy-six".