2416631440 has 40 divisors (see below), whose sum is σ = 5639605560. Its totient is φ = 963050496.

The previous prime is 2416631419. The next prime is 2416631461. The reversal of 2416631440 is 441366142.

It is an interprime number because it is at equal distance from previous prime (2416631419) and next prime (2416631461).

It can be written as a sum of positive squares in 4 ways, for example, as 712336 + 2415919104 = 844^2 + 49152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34629 + ... + 77668.

It is an arithmetic number, because the mean of its divisors is an integer number (140990139).

Almost surely, 2^2416631440 is an apocalyptic number.

2416631440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2416631440 is an abundant number, since it is smaller than the sum of its proper divisors (3222974120).

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

2416631440 is a wasteful number, since it uses less digits than its factorization.

2416631440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112579 (or 112573 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 2416631440 is about 49159.2457224478. The cubic root of 2416631440 is about 1341.9514597949.

Adding to 2416631440 its reverse (441366142), we get a palindrome (2857997582).

The spelling of 2416631440 in words is "two billion, four hundred sixteen million, six hundred thirty-one thousand, four hundred forty".