2459761920 has 864 divisors, whose sum is σ = 11019939840. Its totient is φ = 491765760.

The previous prime is 2459761919. The next prime is 2459761951. The reversal of 2459761920 is 291679542.

2459761920 is a `hidden beast` number, since 2 + 4 + 5 + 9 + 7 + 619 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41690851 + ... + 41690909.

It is an arithmetic number, because the mean of its divisors is an integer number (12754560).

Almost surely, 2^2459761920 is an apocalyptic number.

2459761920 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 2459761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509969920).

2459761920 is an abundant number, since it is smaller than the sum of its proper divisors (8560177920).

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

2459761920 is a wasteful number, since it uses less digits than its factorization.

2459761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2459761920 is about 49595.9869344285. The cubic root of 2459761920 is about 1349.8878589978.

The spelling of 2459761920 in words is "two billion, four hundred fifty-nine million, seven hundred sixty-one thousand, nine hundred twenty".