2903680 has 64 divisors (see below), whose sum is σ = 7497000. Its totient is φ = 1069056.

The previous prime is 2903671. The next prime is 2903689. The reversal of 2903680 is 863092.

2903680 = T₁₄₃ + T₁₄₄ + ... + T₂₇₂.

It is an interprime number because it is at equal distance from previous prime (2903671) and next prime (2903689).

It can be written as a sum of positive squares in 4 ways, for example, as 2143296 + 760384 = 1464^2 + 872^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2903689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8146 + ... + 8494.

2^2903680 is an apocalyptic number.

2903680 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 2903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748500).

2903680 is an abundant number, since it is smaller than the sum of its proper divisors (4593320).

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

2903680 is a wasteful number, since it uses less digits than its factorization.

2903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 2903680 is about 1704.0187792392. The cubic root of 2903680 is about 142.6646092035.

The spelling of 2903680 in words is "two million, nine hundred three thousand, six hundred eighty".