2427501920 has 96 divisors (see below), whose sum is σ = 5909809248. Its totient is φ = 941580288.

The previous prime is 2427501899. The next prime is 2427501929. The reversal of 2427501920 is 291057242.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427501929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2562887 + ... + 2563833.

It is an arithmetic number, because the mean of its divisors is an integer number (61560513).

Almost surely, 2^2427501920 is an apocalyptic number.

2427501920 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 2427501920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954904624).

2427501920 is an abundant number, since it is smaller than the sum of its proper divisors (3482307328).

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

2427501920 is a wasteful number, since it uses less digits than its factorization.

2427501920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 2427501920 is about 49269.6856089015. The cubic root of 2427501920 is about 1343.9605702246.

The spelling of 2427501920 in words is "two billion, four hundred twenty-seven million, five hundred one thousand, nine hundred twenty".