2463940080 has 320 divisors, whose sum is σ = 9813657600. Its totient is φ = 556554240.

The previous prime is 2463940049. The next prime is 2463940103. The reversal of 2463940080 is 800493642.

It is a happy number.

2463940080 is a `hidden beast` number, since 246 + 3 + 9 + 400 + 8 + 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 63 ways as a sum of consecutive naturals, for example, 1344765 + ... + 1346595.

It is an arithmetic number, because the mean of its divisors is an integer number (30667680).

Almost surely, 2^2463940080 is an apocalyptic number.

2463940080 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 2463940080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906828800).

2463940080 is an abundant number, since it is smaller than the sum of its proper divisors (7349717520).

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

2463940080 is a wasteful number, since it uses less digits than its factorization.

2463940080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2463940080 is about 49638.0910188939. The cubic root of 2463940080 is about 1350.6517346964.

The spelling of 2463940080 in words is "two billion, four hundred sixty-three million, nine hundred forty thousand, eighty".