2554037305506 has 128 divisors (see below), whose sum is σ = 5915840832000. Its totient is φ = 815784092928.

The previous prime is 2554037305493. The next prime is 2554037305507. The reversal of 2554037305506 is 6055037304552.

2554037305506 is a `hidden beast` number, since 2 + 55 + 40 + 3 + 7 + 3 + 0 + 550 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2554037305507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110778276 + ... + 110801328.

It is an arithmetic number, because the mean of its divisors is an integer number (46217506500).

Almost surely, 2^{2554037305506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2554037305506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957920416000).

2554037305506 is an abundant number, since it is smaller than the sum of its proper divisors (3361803526494).

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

2554037305506 is a wasteful number, since it uses less digits than its factorization.

2554037305506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23625 (or 23619 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 45.

The spelling of 2554037305506 in words is "two trillion, five hundred fifty-four billion, thirty-seven million, three hundred five thousand, five hundred six".