2121461625 has 48 divisors (see below), whose sum is σ = 3725923968. Its totient is φ = 1071828000.

The previous prime is 2121461593. The next prime is 2121461743. The reversal of 2121461625 is 5261641212.

It is not a de Polignac number, because 2121461625 - 2⁵ = 2121461593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121461592 and 2121461601.

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, 127540 + ... + 143210.

It is an arithmetic number, because the mean of its divisors is an integer number (77623416).

Almost surely, 2^2121461625 is an apocalyptic number.

2121461625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2121461625 is a deficient number, since it is larger than the sum of its proper divisors (1604462343).

2121461625 is a wasteful number, since it uses less digits than its factorization.

2121461625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15727 (or 15698 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 2121461625 is about 46059.3272313003. The cubic root of 2121461625 is about 1284.9268178382.

The spelling of 2121461625 in words is "two billion, one hundred twenty-one million, four hundred sixty-one thousand, six hundred twenty-five".