2040141600 has 576 divisors, whose sum is σ = 8579450880. Its totient is φ = 458265600.

The previous prime is 2040141599. The next prime is 2040141601. The reversal of 2040141600 is 61410402.

2040141600 is a `hidden beast` number, since 20 + 4 + 0 + 1 + 41 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (2040141599) and next prime (2040141601).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2040141601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15573535 + ... + 15573665.

It is an arithmetic number, because the mean of its divisors is an integer number (14894880).

Almost surely, 2^2040141600 is an apocalyptic number.

2040141600 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 2040141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289725440).

2040141600 is an abundant number, since it is smaller than the sum of its proper divisors (6539309280).

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

2040141600 is a wasteful number, since it uses less digits than its factorization.

2040141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2040141600 is about 45167.9266736918. The cubic root of 2040141600 is about 1268.2944845719.

It can be divided in two parts, 20401 and 41600, that added together give a square (62001 = 249²).

The spelling of 2040141600 in words is "two billion, forty million, one hundred forty-one thousand, six hundred".