2490912000 has 540 divisors, whose sum is σ = 9578116548. Its totient is φ = 642816000.

The previous prime is 2490911999. The next prime is 2490912001. The reversal of 2490912000 is 2190942.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2490911999) and next prime (2490912001).

It can be written as a sum of positive squares in 2 ways, for example, as 79709184 + 2411202816 = 8928^2 + 49104^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2490912001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 80351985 + ... + 80352015.

Almost surely, 2^2490912000 is an apocalyptic number.

2490912000 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 2490912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789058274).

2490912000 is an abundant number, since it is smaller than the sum of its proper divisors (7087204548).

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

2490912000 is an frugal number, since it uses more digits than its factorization.

2490912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2490912000 is about 49909.0372577953. The cubic root of 2490912000 is about 1355.5622363233.

The spelling of 2490912000 in words is "two billion, four hundred ninety million, nine hundred twelve thousand".