2490309360 has 1200 divisors, whose sum is σ = 11822671872. Its totient is φ = 479001600.

The previous prime is 2490309343. The next prime is 2490309389. The reversal of 2490309360 is 639030942.

It is a happy number.

2490309360 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 80332545 + ... + 80332575.

Almost surely, 2^2490309360 is an apocalyptic number.

2490309360 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 2490309360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5911335936).

2490309360 is an abundant number, since it is smaller than the sum of its proper divisors (9332362512).

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

2490309360 is a wasteful number, since it uses less digits than its factorization.

2490309360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 2490309360 is about 49902.9995090475. Note that the first 3 decimals coincide. The cubic root of 2490309360 is about 1355.4529079708.

The spelling of 2490309360 in words is "two billion, four hundred ninety million, three hundred nine thousand, three hundred sixty".