2125400040 has 128 divisors (see below), whose sum is σ = 7457616000. Its totient is φ = 536937984.

The previous prime is 2125400029. The next prime is 2125400041. The reversal of 2125400040 is 400045212.

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

It is a junction number, because it is equal to n+sod(n) for n = 2125399986 and 2125400022.

It is not an unprimeable number, because it can be changed into a prime (2125400041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31269 + ... + 72308.

It is an arithmetic number, because the mean of its divisors is an integer number (58262625).

Almost surely, 2^2125400040 is an apocalyptic number.

2125400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2125400040 is an abundant number, since it is smaller than the sum of its proper divisors (5332215960).

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

2125400040 is a wasteful number, since it uses less digits than its factorization.

2125400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103616 (or 103606 counting only the distinct ones).

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

The square root of 2125400040 is about 46102.0611252903. The cubic root of 2125400040 is about 1285.7214659916.

Adding to 2125400040 its reverse (400045212), we get a palindrome (2525445252).

The spelling of 2125400040 in words is "two billion, one hundred twenty-five million, four hundred thousand, forty".