2038278144 has 192 divisors, whose sum is σ = 6296209920. Its totient is φ = 574341120.

The previous prime is 2038278103. The next prime is 2038278199. The reversal of 2038278144 is 4418728302.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3569379 + ... + 3569949.

It is an arithmetic number, because the mean of its divisors is an integer number (32792760).

Almost surely, 2^2038278144 is an apocalyptic number.

2038278144 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 2038278144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148104960).

2038278144 is an abundant number, since it is smaller than the sum of its proper divisors (4257931776).

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

2038278144 is an equidigital number, since it uses as much as digits as its factorization.

2038278144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 2038278144 is about 45147.2938723906. The cubic root of 2038278144 is about 1267.9082154834.

The spelling of 2038278144 in words is "two billion, thirty-eight million, two hundred seventy-eight thousand, one hundred forty-four".