2489431680 has 576 divisors, whose sum is σ = 9679269600. Its totient is φ = 587575296.

The previous prime is 2489431667. The next prime is 2489431687. The reversal of 2489431680 is 861349842.

It is a happy number.

2489431680 is a `hidden beast` number, since 2 + 489 + 4 + 3 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (2489431687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57893739 + ... + 57893781.

Almost surely, 2^2489431680 is an apocalyptic number.

2489431680 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 2489431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839634800).

2489431680 is an abundant number, since it is smaller than the sum of its proper divisors (7189837920).

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

2489431680 is a wasteful number, since it uses less digits than its factorization.

2489431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2489431680 is about 49894.2048739130. The cubic root of 2489431680 is about 1355.2936514926.

The spelling of 2489431680 in words is "two billion, four hundred eighty-nine million, four hundred thirty-one thousand, six hundred eighty".