2067752900 has 72 divisors (see below), whose sum is σ = 4928642880. Its totient is φ = 749485440.

The previous prime is 2067752899. The next prime is 2067752933. The reversal of 2067752900 is 92577602.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20042 + ... + 67358.

Almost surely, 2^2067752900 is an apocalyptic number.

2067752900 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 2067752900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464321440).

2067752900 is an abundant number, since it is smaller than the sum of its proper divisors (2860889980).

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

2067752900 is a wasteful number, since it uses less digits than its factorization.

2067752900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47373 (or 47366 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 2067752900 is about 45472.5510610522. The cubic root of 2067752900 is about 1273.9905684556.

The spelling of 2067752900 in words is "two billion, sixty-seven million, seven hundred fifty-two thousand, nine hundred".