2838144666240 has 1792 divisors, whose sum is σ = 11433888214560. Its totient is φ = 668860416000.

The previous prime is 2838144666167. The next prime is 2838144666271. The reversal of 2838144666240 is 426664418382.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 99861056064 + 2738283610176 = 316008^2 + 1654776^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 25116324424 + ... + 25116324536.

Almost surely, 2^{2838144666240} is an apocalyptic number.

2838144666240 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 2838144666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5716944107280).

2838144666240 is an abundant number, since it is smaller than the sum of its proper divisors (8595743548320).

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

2838144666240 is a wasteful number, since it uses less digits than its factorization.

2838144666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

It can be divided in two parts, 2838144 and 666240, that added together give a square (3504384 = 1872²).

The spelling of 2838144666240 in words is "two trillion, eight hundred thirty-eight billion, one hundred forty-four million, six hundred sixty-six thousand, two hundred forty".