2416061400 has 96 divisors (see below), whose sum is σ = 7564136400. Its totient is φ = 637888000.

The previous prime is 2416061383. The next prime is 2416061419. The reversal of 2416061400 is 41606142.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40666 + ... + 80534.

Almost surely, 2^2416061400 is an apocalyptic number.

2416061400 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 2416061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782068200).

2416061400 is an abundant number, since it is smaller than the sum of its proper divisors (5148075000).

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

2416061400 is a wasteful number, since it uses less digits than its factorization.

2416061400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39989 (or 39980 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2416061400 is about 49153.4474884519. The cubic root of 2416061400 is about 1341.8459374064.

Adding to 2416061400 its reverse (41606142), we get a palindrome (2457667542).

The spelling of 2416061400 in words is "two billion, four hundred sixteen million, sixty-one thousand, four hundred".