2490459048 has 640 divisors, whose sum is σ = 9534412800. Its totient is φ = 587865600.

The previous prime is 2490459031. The next prime is 2490459131. The reversal of 2490459048 is 8409540942.

It is a super-3 number, since 3×2490459048³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2490458994 and 2490459012.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35076853 + ... + 35076923.

It is an arithmetic number, because the mean of its divisors is an integer number (14897520).

Almost surely, 2^2490459048 is an apocalyptic number.

2490459048 is a gapful number since it is divisible by the number (28) 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 2490459048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767206400).

2490459048 is an abundant number, since it is smaller than the sum of its proper divisors (7043953752).

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

2490459048 is a wasteful number, since it uses less digits than its factorization.

2490459048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2490459048 is about 49904.4992761174. The cubic root of 2490459048 is about 1355.4800653692.

The spelling of 2490459048 in words is "two billion, four hundred ninety million, four hundred fifty-nine thousand, forty-eight".