2135347200 has 468 divisors, whose sum is σ = 8767384288. Its totient is φ = 486604800.

The previous prime is 2135347189. The next prime is 2135347211. The reversal of 2135347200 is 27435312.

It is an interprime number because it is at equal distance from previous prime (2135347189) and next prime (2135347211).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6451035 + ... + 6451365.

Almost surely, 2^2135347200 is an apocalyptic number.

2135347200 is a gapful number since it is divisible by the number (20) 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 2135347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383692144).

2135347200 is an abundant number, since it is smaller than the sum of its proper divisors (6632037088).

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

2135347200 is a wasteful number, since it uses less digits than its factorization.

2135347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2135347200 is about 46209.8171387856. The cubic root of 2135347200 is about 1287.7241285121.

The spelling of 2135347200 in words is "two billion, one hundred thirty-five million, three hundred forty-seven thousand, two hundred".