2034960048 has 120 divisors (see below), whose sum is σ = 6268326480. Its totient is φ = 611143680.

The previous prime is 2034960047. The next prime is 2034960049. The reversal of 2034960048 is 8400694302.

It is a happy number.

2034960048 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 9 + 600 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (2034960047) and next prime (2034960049).

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

It is a junction number, because it is equal to n+sod(n) for n = 2034959994 and 2034960021.

It is not an unprimeable number, because it can be changed into a prime (2034960047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173308 + ... + 184676.

It is an arithmetic number, because the mean of its divisors is an integer number (52236054).

Almost surely, 2^2034960048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034960048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134163240).

2034960048 is an abundant number, since it is smaller than the sum of its proper divisors (4233366432).

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

2034960048 is a wasteful number, since it uses less digits than its factorization.

2034960048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11507 (or 11498 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2034960048 is about 45110.5314533092. The cubic root of 2034960048 is about 1267.2198360742.

The spelling of 2034960048 in words is "two billion, thirty-four million, nine hundred sixty thousand, forty-eight".