2552880819636 has 360 divisors, whose sum is σ = 7969572885120. Its totient is φ = 710270975232.

The previous prime is 2552880819631. The next prime is 2552880819647. The reversal of 2552880819636 is 6369180882552.

2552880819636 is a `hidden beast` number, since 2 + 552 + 8 + 8 + 0 + 8 + 19 + 63 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552880819631) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 91542951 + ... + 91570833.

Almost surely, 2^{2552880819636} 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 2552880819636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984786442560).

2552880819636 is an abundant number, since it is smaller than the sum of its proper divisors (5416692065484).

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

2552880819636 is a wasteful number, since it uses less digits than its factorization.

2552880819636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28065 (or 28047 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 2552880819636 in words is "two trillion, five hundred fifty-two billion, eight hundred eighty million, eight hundred nineteen thousand, six hundred thirty-six".