2167572420 has 384 divisors, whose sum is σ = 7894817280. Its totient is φ = 488816640.

The previous prime is 2167572401. The next prime is 2167572427. The reversal of 2167572420 is 242757612.

It is a happy number.

2167572420 is a `hidden beast` number, since 2 + 1 + 67 + 572 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2167572427) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4892719 + ... + 4893161.

It is an arithmetic number, because the mean of its divisors is an integer number (20559420).

Almost surely, 2^2167572420 is an apocalyptic number.

2167572420 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 2167572420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947408640).

2167572420 is an abundant number, since it is smaller than the sum of its proper divisors (5727244860).

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

2167572420 is a wasteful number, since it uses less digits than its factorization.

2167572420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2167572420 is about 46557.1951474743. The cubic root of 2167572420 is about 1294.1696340913.

The spelling of 2167572420 in words is "two billion, one hundred sixty-seven million, five hundred seventy-two thousand, four hundred twenty".