2462420880 has 120 divisors (see below), whose sum is σ = 8282559168. Its totient is φ = 655619328.

The previous prime is 2462420869. The next prime is 2462420887. The reversal of 2462420880 is 880242642.

It is a happy number.

2462420880 is a `hidden beast` number, since 2 + 4 + 624 + 20 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 (2462420887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 532659 + ... + 537261.

Almost surely, 2^2462420880 is an apocalyptic number.

2462420880 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 2462420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141279584).

2462420880 is an abundant number, since it is smaller than the sum of its proper divisors (5820138288).

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

2462420880 is a wasteful number, since it uses less digits than its factorization.

2462420880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5365 (or 5356 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2462420880 is about 49622.7858951913. The cubic root of 2462420880 is about 1350.3740856315.

The spelling of 2462420880 in words is "two billion, four hundred sixty-two million, four hundred twenty thousand, eight hundred eighty".