2544642450 has 576 divisors, whose sum is σ = 9066919680. Its totient is φ = 497664000.

The previous prime is 2544642391. The next prime is 2544642461. The reversal of 2544642450 is 542464452.

2544642450 is a `hidden beast` number, since 2 + 5 + 4 + 4 + 642 + 4 + 5 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41715420 + ... + 41715480.

It is an arithmetic number, because the mean of its divisors is an integer number (15741180).

Almost surely, 2^2544642450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2544642450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533459840).

2544642450 is an abundant number, since it is smaller than the sum of its proper divisors (6522277230).

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

2544642450 is a wasteful number, since it uses less digits than its factorization.

2544642450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 2544642450 is about 50444.4491495348. The cubic root of 2544642450 is about 1365.2397437450.

It can be divided in two parts, 25446 and 42450, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 2544642450 in words is "two billion, five hundred forty-four million, six hundred forty-two thousand, four hundred fifty".