2490151680 has 144 divisors (see below), whose sum is σ = 8836702560. Its totient is φ = 664031232.

The previous prime is 2490151679. The next prime is 2490151693. The reversal of 2490151680 is 861510942.

2490151680 is a `hidden beast` number, since 2 + 490 + 1 + 5 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1467 + ... + 70586.

It is an arithmetic number, because the mean of its divisors is an integer number (61365990).

Almost surely, 2^2490151680 is an apocalyptic number.

2490151680 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 2490151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418351280).

2490151680 is an abundant number, since it is smaller than the sum of its proper divisors (6346550880).

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

2490151680 is an equidigital number, since it uses as much as digits as its factorization.

2490151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72083 (or 72063 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2490151680 is about 49901.4196190850. The cubic root of 2490151680 is about 1355.4242994334.

The spelling of 2490151680 in words is "two billion, four hundred ninety million, one hundred fifty-one thousand, six hundred eighty".