2497840128 has 264 divisors, whose sum is σ = 8515520000. Its totient is φ = 690094080.

The previous prime is 2497840123. The next prime is 2497840129. The reversal of 2497840128 is 8210487942.

It is a super-3 number, since 3×2497840128³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2497840123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1999248 + ... + 2000496.

Almost surely, 2^2497840128 is an apocalyptic number.

2497840128 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 2497840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257760000).

2497840128 is an abundant number, since it is smaller than the sum of its proper divisors (6017679872).

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

2497840128 is a wasteful number, since it uses less digits than its factorization.

2497840128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2497840128 is about 49978.3966129367. The cubic root of 2497840128 is about 1356.8178427107.

The spelling of 2497840128 in words is "two billion, four hundred ninety-seven million, eight hundred forty thousand, one hundred twenty-eight".