4262501880 has 768 divisors, whose sum is σ = 18198835200. Its totient is φ = 873400320.

The previous prime is 4262501879. The next prime is 4262501899. The reversal of 4262501880 is 881052624.

4262501880 is a `hidden beast` number, since 426 + 2 + 50 + 188 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53955681 + ... + 53955759.

It is an arithmetic number, because the mean of its divisors is an integer number (23696400).

Almost surely, 2^4262501880 is an apocalyptic number.

4262501880 is a gapful number since it is divisible by the number (40) 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 4262501880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099417600).

4262501880 is an abundant number, since it is smaller than the sum of its proper divisors (13936333320).

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

4262501880 is a wasteful number, since it uses less digits than its factorization.

4262501880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 4262501880 is about 65287.8386837855. The cubic root of 4262501880 is about 1621.3926296463.

The spelling of 4262501880 in words is "four billion, two hundred sixty-two million, five hundred one thousand, eight hundred eighty".