2698920 has 240 divisors, whose sum is σ = 11173140. Its totient is φ = 580608.

The previous prime is 2698867. The next prime is 2698921. The reversal of 2698920 is 298962.

2698920 = T₈ + T₉ + ... + T₂₅₂.

It can be written as a sum of positive squares in 2 ways, for example, as 2683044 + 15876 = 1638^2 + 126^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2698921) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 158752 + ... + 158768.

2^2698920 is an apocalyptic number.

2698920 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 2698920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586570).

2698920 is an abundant number, since it is smaller than the sum of its proper divisors (8474220).

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

2698920 is a wasteful number, since it uses less digits than its factorization.

2698920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2698920 is about 1642.8390061111. The cubic root of 2698920 is about 139.2290961770.

The spelling of 2698920 in words is "two million, six hundred ninety-eight thousand, nine hundred twenty".