2042696160 has 144 divisors (see below), whose sum is σ = 6983069184. Its totient is φ = 543753216.

The previous prime is 2042696143. The next prime is 2042696177. The reversal of 2042696160 is 616962402.

It is an interprime number because it is at equal distance from previous prime (2042696143) and next prime (2042696177).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1227489 + ... + 1229151.

It is an arithmetic number, because the mean of its divisors is an integer number (48493536).

Almost surely, 2^2042696160 is an apocalyptic number.

2042696160 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 2042696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491534592).

2042696160 is an abundant number, since it is smaller than the sum of its proper divisors (4940373024).

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

2042696160 is a wasteful number, since it uses less digits than its factorization.

2042696160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2042696160 is about 45196.1963001313. The cubic root of 2042696160 is about 1268.8236280728.

The spelling of 2042696160 in words is "two billion, forty-two million, six hundred ninety-six thousand, one hundred sixty".