2067953976 has 160 divisors (see below), whose sum is σ = 6490352880. Its totient is φ = 609638400.

The previous prime is 2067953971. The next prime is 2067953999. The reversal of 2067953976 is 6793597602.

2067953976 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067953971) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 259816 + ... + 267656.

Almost surely, 2^2067953976 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 2067953976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245176440).

2067953976 is an abundant number, since it is smaller than the sum of its proper divisors (4422398904).

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

2067953976 is a wasteful number, since it uses less digits than its factorization.

2067953976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7907 (or 7894 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The square root of 2067953976 is about 45474.7619674914. The cubic root of 2067953976 is about 1274.0318629811.

The spelling of 2067953976 in words is "two billion, sixty-seven million, nine hundred fifty-three thousand, nine hundred seventy-six".