2490177312 has 288 divisors, whose sum is σ = 8480070144. Its totient is φ = 678297600.

The previous prime is 2490177301. The next prime is 2490177341. The reversal of 2490177312 is 2137710942.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 3884512 + ... + 3885152.

It is an arithmetic number, because the mean of its divisors is an integer number (29444688).

Almost surely, 2^2490177312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2490177312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240035072).

2490177312 is an abundant number, since it is smaller than the sum of its proper divisors (5989892832).

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

2490177312 is a wasteful number, since it uses less digits than its factorization.

2490177312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2490177312 is about 49901.6764447849. The cubic root of 2490177312 is about 1355.4289500358.

The spelling of 2490177312 in words is "two billion, four hundred ninety million, one hundred seventy-seven thousand, three hundred twelve".