2042150400 has 480 divisors, whose sum is σ = 7915564800. Its totient is φ = 514252800.

The previous prime is 2042150393. The next prime is 2042150401. The reversal of 2042150400 is 40512402.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042150401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6566245 + ... + 6566555.

It is an arithmetic number, because the mean of its divisors is an integer number (16490760).

Almost surely, 2^2042150400 is an apocalyptic number.

2042150400 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 2042150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957782400).

2042150400 is an abundant number, since it is smaller than the sum of its proper divisors (5873414400).

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

2042150400 is a wasteful number, since it uses less digits than its factorization.

2042150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2042150400 is about 45190.1582205683. The cubic root of 2042150400 is about 1268.7106181407.

Adding to 2042150400 its reverse (40512402), we get a palindrome (2082662802).

The spelling of 2042150400 in words is "two billion, forty-two million, one hundred fifty thousand, four hundred".