2938416 has 80 divisors (see below), whose sum is σ = 8686944. Its totient is φ = 847872.

The previous prime is 2938409. The next prime is 2938423. The reversal of 2938416 is 6148392.

2938416 = T₅₃ + T₅₄ + ... + T₂₆₀.

It is an interprime number because it is at equal distance from previous prime (2938409) and next prime (2938423).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10470 + ... + 10746.

2^2938416 is an apocalyptic number.

2938416 is a gapful number since it is divisible by the number (26) 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 2938416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343472).

2938416 is an abundant number, since it is smaller than the sum of its proper divisors (5748528).

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

2938416 is a wasteful number, since it uses less digits than its factorization.

2938416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 2938416 is about 1714.1808539358. The cubic root of 2938416 is about 143.2312427280.

The spelling of 2938416 in words is "two million, nine hundred thirty-eight thousand, four hundred sixteen".