2254355004006 has 64 divisors (see below), whose sum is σ = 5725503336960. Its totient is φ = 644083734240.

The previous prime is 2254355003969. The next prime is 2254355004043. The reversal of 2254355004006 is 6004005534522.

2254355004006 is a `hidden beast` number, since 2 + 25 + 43 + 550 + 0 + 40 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2254355003969) and next prime (2254355004043).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20576985 + ... + 20686251.

It is an arithmetic number, because the mean of its divisors is an integer number (89460989640).

Almost surely, 2^{2254355004006} is an apocalyptic number.

2254355004006 is an abundant number, since it is smaller than the sum of its proper divisors (3471148332954).

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

2254355004006 is a wasteful number, since it uses less digits than its factorization.

2254355004006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163866 (or 163860 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 2254355004006 in words is "two trillion, two hundred fifty-four billion, three hundred fifty-five million, four thousand, six".