2496194064 has 480 divisors, whose sum is σ = 9214410240. Its totient is φ = 640991232.

The previous prime is 2496194033. The next prime is 2496194081. The reversal of 2496194064 is 4604916942.

2496194064 is a `hidden beast` number, since 24 + 9 + 619 + 4 + 0 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12933552 + ... + 12933744.

It is an arithmetic number, because the mean of its divisors is an integer number (19196688).

Almost surely, 2^2496194064 is an apocalyptic number.

2496194064 is a gapful number since it is divisible by the number (24) 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 2496194064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607205120).

2496194064 is an abundant number, since it is smaller than the sum of its proper divisors (6718216176).

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

2496194064 is a wasteful number, since it uses less digits than its factorization.

2496194064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2496194064 is about 49961.9261438148. The cubic root of 2496194064 is about 1356.5197318532.

It can be divided in two parts, 24961 and 94064, that added together give a square (119025 = 345²).

The spelling of 2496194064 in words is "two billion, four hundred ninety-six million, one hundred ninety-four thousand, sixty-four".