2544629920 has 96 divisors (see below), whose sum is σ = 7030412928. Its totient is φ = 852139008.

The previous prime is 2544629861. The next prime is 2544629933. The reversal of 2544629920 is 299264452.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 21742 + ... + 74578.

It is an arithmetic number, because the mean of its divisors is an integer number (73233468).

Almost surely, 2^2544629920 is an apocalyptic number.

2544629920 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 2544629920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515206464).

2544629920 is an abundant number, since it is smaller than the sum of its proper divisors (4485783008).

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

2544629920 is a wasteful number, since it uses less digits than its factorization.

2544629920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52902 (or 52894 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 2544629920 is about 50444.3249533582. The cubic root of 2544629920 is about 1365.2375028955.

The spelling of 2544629920 in words is "two billion, five hundred forty-four million, six hundred twenty-nine thousand, nine hundred twenty".