2125671024 has 80 divisors (see below), whose sum is σ = 5866044192. Its totient is φ = 660946944.

The previous prime is 2125670977. The next prime is 2125671047. The reversal of 2125671024 is 4201765212.

It is a Cunningham number, because it is equal to 46105²-1.

It is a junction number, because it is equal to n+sod(n) for n = 2125670982 and 2125671000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80682 + ... + 103734.

Almost surely, 2^2125671024 is an apocalyptic number.

2125671024 is a gapful number since it is divisible by the number (24) 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 2125671024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933022096).

2125671024 is an abundant number, since it is smaller than the sum of its proper divisors (3740373168).

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

2125671024 is a wasteful number, since it uses less digits than its factorization.

2125671024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23194 (or 23188 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2125671024 is about 46104.9999891552. Note that the first 4 decimals coincide. The cubic root of 2125671024 is about 1285.7761059234.

The spelling of 2125671024 in words is "two billion, one hundred twenty-five million, six hundred seventy-one thousand, twenty-four".