2645358144 has 336 divisors, whose sum is σ = 8740079040. Its totient is φ = 699494400.

The previous prime is 2645358139. The next prime is 2645358193. The reversal of 2645358144 is 4418535462.

2645358144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2645358096 and 2645358105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5738074 + ... + 5738534.

It is an arithmetic number, because the mean of its divisors is an integer number (26012140).

Almost surely, 2^2645358144 is an apocalyptic number.

2645358144 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 2645358144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370039520).

2645358144 is an abundant number, since it is smaller than the sum of its proper divisors (6094720896).

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

2645358144 is a wasteful number, since it uses less digits than its factorization.

2645358144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 509 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 2645358144 is about 51433.0452530277. The cubic root of 2645358144 is about 1383.0190404706.

The spelling of 2645358144 in words is "two billion, six hundred forty-five million, three hundred fifty-eight thousand, one hundred forty-four".