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2496940992 = 26347136779
BaseRepresentation
bin1001010011010100…
…0100101111000000
320110000102202010000
42110311010233000
520103204102432
61051434040000
7115606435230
oct22465045700
96400382100
102496940992
1110715047a7
12598279000
1330a3caca0
14199895cc0
15e932457c
hex94d44bc0

2496940992 has 560 divisors, whose sum is σ = 9362805760. Its totient is φ = 640493568.

The previous prime is 2496940987. The next prime is 2496940997. The reversal of 2496940992 is 2990496942.

It is an interprime number because it is at equal distance from previous prime (2496940987) and next prime (2496940997).

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 (2496940997) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 31606809 + ... + 31606887.

It is an arithmetic number, because the mean of its divisors is an integer number (16719296).

Almost surely, 22496940992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2496940992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681402880).

2496940992 is an abundant number, since it is smaller than the sum of its proper divisors (6865864768).

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

2496940992 is a wasteful number, since it uses less digits than its factorization.

2496940992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 2496940992 is about 49969.4005567407. The cubic root of 2496940992 is about 1356.6550206836.

The spelling of 2496940992 in words is "two billion, four hundred ninety-six million, nine hundred forty thousand, nine hundred ninety-two".