2048142096 has 360 divisors, whose sum is σ = 7745414976. Its totient is φ = 490613760.

The previous prime is 2048142091. The next prime is 2048142119. The reversal of 2048142096 is 6902418402.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2048142096.

It is not an unprimeable number, because it can be changed into a prime (2048142091) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1873326 + ... + 1874418.

Almost surely, 2^2048142096 is an apocalyptic number.

2048142096 is a gapful number since it is divisible by the number (26) 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 2048142096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872707488).

2048142096 is an abundant number, since it is smaller than the sum of its proper divisors (5697272880).

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

2048142096 is a wasteful number, since it uses less digits than its factorization.

2048142096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2048142096 is about 45256.4039225390. The cubic root of 2048142096 is about 1269.9502111219.

The spelling of 2048142096 in words is "two billion, forty-eight million, one hundred forty-two thousand, ninety-six".