2496199680 has 440 divisors, whose sum is σ = 9653848512. Its totient is φ = 613122048.

The previous prime is 2496199663. The next prime is 2496199687. The reversal of 2496199680 is 869916942.

2496199680 is a `hidden beast` number, since 2 + 496 + 1 + 99 + 68 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2496199687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5391129 + ... + 5391591.

Almost surely, 2^2496199680 is an apocalyptic number.

2496199680 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 2496199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826924256).

2496199680 is an abundant number, since it is smaller than the sum of its proper divisors (7157648832).

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

2496199680 is a wasteful number, since it uses less digits than its factorization.

2496199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 2496199680 is about 49961.9823465803. The cubic root of 2496199680 is about 1356.5207491632.

The spelling of 2496199680 in words is "two billion, four hundred ninety-six million, one hundred ninety-nine thousand, six hundred eighty".