2134755000 has 480 divisors, whose sum is σ = 8596748160. Its totient is φ = 486000000.

The previous prime is 2134754977. The next prime is 2134755001. The reversal of 2134755000 is 5574312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134755001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8504875 + ... + 8505125.

It is an arithmetic number, because the mean of its divisors is an integer number (17909892).

Almost surely, 2^2134755000 is an apocalyptic number.

2134755000 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 2134755000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298374080).

2134755000 is an abundant number, since it is smaller than the sum of its proper divisors (6461993160).

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

2134755000 is an equidigital number, since it uses as much as digits as its factorization.

2134755000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2134755000 is about 46203.4089651402. The cubic root of 2134755000 is about 1287.6050751583.

The spelling of 2134755000 in words is "two billion, one hundred thirty-four million, seven hundred fifty-five thousand".