2464989120 has 672 divisors, whose sum is σ = 10270540800. Its totient is φ = 535265280.

The previous prime is 2464989089. The next prime is 2464989127. The reversal of 2464989120 is 219894642.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2464989127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12386781 + ... + 12386979.

Almost surely, 2^2464989120 is an apocalyptic number.

2464989120 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 2464989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5135270400).

2464989120 is an abundant number, since it is smaller than the sum of its proper divisors (7805551680).

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

2464989120 is a wasteful number, since it uses less digits than its factorization.

2464989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2464989120 is about 49648.6567794135. The cubic root of 2464989120 is about 1350.8433906910.

The spelling of 2464989120 in words is "two billion, four hundred sixty-four million, nine hundred eighty-nine thousand, one hundred twenty".