2780217000 has 768 divisors, whose sum is σ = 11353305600. Its totient is φ = 627264000.

The previous prime is 2780216993. The next prime is 2780217019. The reversal of 2780217000 is 7120872.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 75140982 + ... + 75141018.

It is an arithmetic number, because the mean of its divisors is an integer number (14782950).

Almost surely, 2^2780217000 is an apocalyptic number.

2780217000 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 2780217000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5676652800).

2780217000 is an abundant number, since it is smaller than the sum of its proper divisors (8573088600).

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

2780217000 is a wasteful number, since it uses less digits than its factorization.

2780217000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 2780217000 is about 52727.7630854942. The cubic root of 2780217000 is about 1406.1324523968.

Adding to 2780217000 its reverse (7120872), we get a palindrome (2787337872).

The spelling of 2780217000 in words is "two billion, seven hundred eighty million, two hundred seventeen thousand".