2002077000 has 768 divisors, whose sum is σ = 8831047680. Its totient is φ = 412128000.

The previous prime is 2002076969. The next prime is 2002077041. The reversal of 2002077000 is 7702002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18710947 + ... + 18711053.

It is an arithmetic number, because the mean of its divisors is an integer number (11498760).

Almost surely, 2^2002077000 is an apocalyptic number.

2002077000 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 2002077000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415523840).

2002077000 is an abundant number, since it is smaller than the sum of its proper divisors (6828970680).

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

2002077000 is a wasteful number, since it uses less digits than its factorization.

2002077000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 2002077000 is about 44744.5750901715. The cubic root of 2002077000 is about 1260.3570416740.

Adding to 2002077000 its reverse (7702002), we get a palindrome (2009779002).

It can be divided in two parts, 20020 and 77000, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 2002077000 in words is "two billion, two million, seventy-seven thousand".