2072618496 has 320 divisors, whose sum is σ = 6966220800. Its totient is φ = 603168768.

The previous prime is 2072618479. The next prime is 2072618503. The reversal of 2072618496 is 6948162702.

It is a happy number.

2072618496 is a `hidden beast` number, since 20 + 7 + 2 + 618 + 4 + 9 + 6 = 666.

It is a super-2 number, since 2×2072618496² = 8591494859922604032, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3414225 + ... + 3414831.

It is an arithmetic number, because the mean of its divisors is an integer number (21769440).

Almost surely, 2^2072618496 is an apocalyptic number.

2072618496 is a gapful number since it is divisible by the number (26) 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 2072618496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483110400).

2072618496 is an abundant number, since it is smaller than the sum of its proper divisors (4893602304).

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

2072618496 is a wasteful number, since it uses less digits than its factorization.

2072618496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2072618496 is about 45526.0199885736. The cubic root of 2072618496 is about 1274.9890545773.

The spelling of 2072618496 in words is "two billion, seventy-two million, six hundred eighteen thousand, four hundred ninety-six".