2496348288 has 256 divisors, whose sum is σ = 8865024000. Its totient is φ = 675578880.

The previous prime is 2496348287. The next prime is 2496348319. The reversal of 2496348288 is 8828436942.

2496348288 is a `hidden beast` number, since 24 + 9 + 63 + 482 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2496348287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456933 + ... + 462363.

It is an arithmetic number, because the mean of its divisors is an integer number (34629000).

Almost surely, 2^2496348288 is an apocalyptic number.

2496348288 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 2496348288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432512000).

2496348288 is an abundant number, since it is smaller than the sum of its proper divisors (6368675712).

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

2496348288 is a wasteful number, since it uses less digits than its factorization.

2496348288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5480 (or 5462 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 2496348288 is about 49963.4695352515. The cubic root of 2496348288 is about 1356.5476681949.

The spelling of 2496348288 in words is "two billion, four hundred ninety-six million, three hundred forty-eight thousand, two hundred eighty-eight".