240377040 has 60 divisors (see below), whose sum is σ = 807268644. Its totient is φ = 64100352.

The previous prime is 240377021. The next prime is 240377041. The reversal of 240377040 is 40773042.

It can be written as a sum of positive squares in 2 ways, for example, as 26749584 + 213627456 = 5172^2 + 14616^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×240377040² = 115562242718323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240376995 and 240377013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240377041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166209 + ... + 167648.

Almost surely, 2^240377040 is an apocalyptic number.

240377040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240377040 is an abundant number, since it is smaller than the sum of its proper divisors (566891604).

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

240377040 is a wasteful number, since it uses less digits than its factorization.

240377040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333876 (or 333867 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 240377040 is about 15504.0975229131. The cubic root of 240377040 is about 621.7717617399.

The spelling of 240377040 in words is "two hundred forty million, three hundred seventy-seven thousand, forty".