2490962760 has 384 divisors, whose sum is σ = 9832233600. Its totient is φ = 553029120.

The previous prime is 2490962759. The next prime is 2490962777. The reversal of 2490962760 is 672690942.

2490962760 is a `hidden beast` number, since 2 + 490 + 96 + 2 + 76 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19613817 + ... + 19613943.

It is an arithmetic number, because the mean of its divisors is an integer number (25604775).

Almost surely, 2^2490962760 is an apocalyptic number.

2490962760 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 2490962760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916116800).

2490962760 is an abundant number, since it is smaller than the sum of its proper divisors (7341270840).

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

2490962760 is a wasteful number, since it uses less digits than its factorization.

2490962760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2490962760 is about 49909.5457803415. The cubic root of 2490962760 is about 1355.5714441786.

The spelling of 2490962760 in words is "two billion, four hundred ninety million, nine hundred sixty-two thousand, seven hundred sixty".