2124041040 has 240 divisors, whose sum is σ = 7813428480. Its totient is φ = 512824320.

The previous prime is 2124040993. The next prime is 2124041063. The reversal of 2124041040 is 401404212.

2124041040 is a `hidden beast` number, since 212 + 4 + 0 + 410 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2953801 + ... + 2954519.

It is an arithmetic number, because the mean of its divisors is an integer number (32555952).

Almost surely, 2^2124041040 is an apocalyptic number.

2124041040 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 2124041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906714240).

2124041040 is an abundant number, since it is smaller than the sum of its proper divisors (5689387440).

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

2124041040 is a wasteful number, since it uses less digits than its factorization.

2124041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2124041040 is about 46087.3197311365. The cubic root of 2124041040 is about 1285.4473735880.

Adding to 2124041040 its reverse (401404212), we get a palindrome (2525445252).

It can be divided in two parts, 212404 and 1040, that added together give a square (213444 = 462²).

The spelling of 2124041040 in words is "two billion, one hundred twenty-four million, forty-one thousand, forty".