2121598752 has 192 divisors, whose sum is σ = 7153090560. Its totient is φ = 535163904.

The previous prime is 2121598711. The next prime is 2121598757. The reversal of 2121598752 is 2578951212.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2121598757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195649 + ... + 206207.

It is an arithmetic number, because the mean of its divisors is an integer number (37255680).

Almost surely, 2^2121598752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121598752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576545280).

2121598752 is an abundant number, since it is smaller than the sum of its proper divisors (5031491808).

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

2121598752 is a wasteful number, since it uses less digits than its factorization.

2121598752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10615 (or 10607 counting only the distinct ones).

The product of its digits is 100800, while the sum is 42.

The square root of 2121598752 is about 46060.8157982466. The cubic root of 2121598752 is about 1284.9545022675.

The spelling of 2121598752 in words is "two billion, one hundred twenty-one million, five hundred ninety-eight thousand, seven hundred fifty-two".