2645010144 has 288 divisors, whose sum is σ = 9238634496. Its totient is φ = 700600320.

The previous prime is 2645010107. The next prime is 2645010149. The reversal of 2645010144 is 4410105462.

2645010144 is a `hidden beast` number, since 2 + 645 + 0 + 1 + 0 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2645010149) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2432769 + ... + 2433855.

It is an arithmetic number, because the mean of its divisors is an integer number (32078592).

Almost surely, 2^2645010144 is an apocalyptic number.

2645010144 is a gapful number since it is divisible by the number (24) 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 2645010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619317248).

2645010144 is an abundant number, since it is smaller than the sum of its proper divisors (6593624352).

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

2645010144 is a wasteful number, since it uses less digits than its factorization.

2645010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2645010144 is about 51429.6621027204. The cubic root of 2645010144 is about 1382.9583918796.

The spelling of 2645010144 in words is "two billion, six hundred forty-five million, ten thousand, one hundred forty-four".