2454984240 has 160 divisors (see below), whose sum is σ = 7888637952. Its totient is φ = 630912000.

The previous prime is 2454984211. The next prime is 2454984307. The reversal of 2454984240 is 424894542.

It is a junction number, because it is equal to n+sod(n) for n = 2454984192 and 2454984201.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2313310 + ... + 2314370.

Almost surely, 2^2454984240 is an apocalyptic number.

2454984240 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 2454984240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944318976).

2454984240 is an abundant number, since it is smaller than the sum of its proper divisors (5433653712).

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

2454984240 is a wasteful number, since it uses less digits than its factorization.

2454984240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 2454984240 is about 49547.7975292545. The cubic root of 2454984240 is about 1349.0133146944.

The spelling of 2454984240 in words is "two billion, four hundred fifty-four million, nine hundred eighty-four thousand, two hundred forty".