2125041408 has 216 divisors, whose sum is σ = 7147868000. Its totient is φ = 606928896.

The previous prime is 2125041407. The next prime is 2125041419. The reversal of 2125041408 is 8041405212.

2125041408 is a `hidden beast` number, since 2 + 1 + 250 + 4 + 1 + 408 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125041407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 788928 + ... + 791616.

Almost surely, 2^2125041408 is an apocalyptic number.

2125041408 is a gapful number since it is divisible by the number (28) 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 2125041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573934000).

2125041408 is an abundant number, since it is smaller than the sum of its proper divisors (5022826592).

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

2125041408 is an equidigital number, since it uses as much as digits as its factorization.

2125041408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2125041408 is about 46098.1714170964. The cubic root of 2125041408 is about 1285.6491459908.

The spelling of 2125041408 in words is "two billion, one hundred twenty-five million, forty-one thousand, four hundred eight".