2554390720640 has 128 divisors (see below), whose sum is σ = 6666365301120. Its totient is φ = 928223723520.

The previous prime is 2554390720621. The next prime is 2554390720667. The reversal of 2554390720640 is 460270934552.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10061504 + ... + 10312256.

It is an arithmetic number, because the mean of its divisors is an integer number (52080978915).

Almost surely, 2^{2554390720640} is an apocalyptic number.

2554390720640 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 2554390720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333182650560).

2554390720640 is an abundant number, since it is smaller than the sum of its proper divisors (4111974580480).

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

2554390720640 is a wasteful number, since it uses less digits than its factorization.

2554390720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252230 (or 252218 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 47.

The spelling of 2554390720640 in words is "two trillion, five hundred fifty-four billion, three hundred ninety million, seven hundred twenty thousand, six hundred forty".