2496729690 has 256 divisors, whose sum is σ = 8245923840. Its totient is φ = 523480320.

The previous prime is 2496729673. The next prime is 2496729733. The reversal of 2496729690 is 969276942.

It is a super-2 number, since 2×2496729690² = 12467318289854992200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7542825 + ... + 7543155.

It is an arithmetic number, because the mean of its divisors is an integer number (32210640).

Almost surely, 2^2496729690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2496729690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122961920).

2496729690 is an abundant number, since it is smaller than the sum of its proper divisors (5749194150).

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

2496729690 is a wasteful number, since it uses less digits than its factorization.

2496729690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 2496729690 is about 49967.2861980716. The cubic root of 2496729690 is about 1356.6167509225.

The spelling of 2496729690 in words is "two billion, four hundred ninety-six million, seven hundred twenty-nine thousand, six hundred ninety".