2178042048 has 560 divisors, whose sum is σ = 8398987520. Its totient is φ = 544195584.

The previous prime is 2178042019. The next prime is 2178042077. The reversal of 2178042048 is 8402408712.

It is an interprime number because it is at equal distance from previous prime (2178042019) and next prime (2178042077).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 2178042048 = 108³ + 1296³ = 972³ + 1080³.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 114633783 + ... + 114633801.

It is an arithmetic number, because the mean of its divisors is an integer number (14998192).

Almost surely, 2^2178042048 is an apocalyptic number.

2178042048 is a gapful number since it is divisible by the number (28) 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 2178042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199493760).

2178042048 is an abundant number, since it is smaller than the sum of its proper divisors (6220945472).

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

2178042048 is an frugal number, since it uses more digits than its factorization.

2178042048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2178042048 is about 46669.4980474399. The cubic root of 2178042048 is about 1296.2499517902.

The spelling of 2178042048 in words is "two billion, one hundred seventy-eight million, forty-two thousand, forty-eight".