2006778480 has 160 divisors (see below), whose sum is σ = 7484044800. Its totient is φ = 434543616.

The previous prime is 2006778479. The next prime is 2006778491. The reversal of 2006778480 is 848776002.

It is a super-2 number, since 2×2006778480² = 8054319735582220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486 + ... + 63354.

It is an arithmetic number, because the mean of its divisors is an integer number (46775280).

Almost surely, 2^2006778480 is an apocalyptic number.

2006778480 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 2006778480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742022400).

2006778480 is an abundant number, since it is smaller than the sum of its proper divisors (5477266320).

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

2006778480 is a wasteful number, since it uses less digits than its factorization.

2006778480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62911 (or 62905 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 2006778480 is about 44797.0811549145. The cubic root of 2006778480 is about 1261.3428364504.

The spelling of 2006778480 in words is "two billion, six million, seven hundred seventy-eight thousand, four hundred eighty".