2416140 has 72 divisors (see below), whose sum is σ = 7582848. Its totient is φ = 622080.

The previous prime is 2416133. The next prime is 2416147. The reversal of 2416140 is 416142.

2416140 = 226² + 227² + ... + 265².

It is an interprime number because it is at equal distance from previous prime (2416133) and next prime (2416147).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2416147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5364 + ... + 5796.

2^2416140 is an apocalyptic number.

2416140 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 2416140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791424).

2416140 is an abundant number, since it is smaller than the sum of its proper divisors (5166708).

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

2416140 is a wasteful number, since it uses less digits than its factorization.

2416140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2416140 is about 1554.3937725043. The cubic root of 2416140 is about 134.1860488354.

It can be divided in two parts, 2416 and 140, that added together give a triangular number (2556 = T₇₁).

The spelling of 2416140 in words is "two million, four hundred sixteen thousand, one hundred forty".