2829780 has 72 divisors (see below), whose sum is σ = 8736000. Its totient is φ = 741312.

The previous prime is 2829767. The next prime is 2829793. The reversal of 2829780 is 879282.

It is an interprime number because it is at equal distance from previous prime (2829767) and next prime (2829793).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14121 + ... + 14319.

2^2829780 is an apocalyptic number.

2829780 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 2829780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368000).

2829780 is an abundant number, since it is smaller than the sum of its proper divisors (5906220).

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

2829780 is a wasteful number, since it uses less digits than its factorization.

2829780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2829780 is about 1682.1949946424. The cubic root of 2829780 is about 141.4439005642.

The spelling of 2829780 in words is "two million, eight hundred twenty-nine thousand, seven hundred eighty".