2416761072 has 360 divisors, whose sum is σ = 8104168800. Its totient is φ = 669081600.

The previous prime is 2416761071. The next prime is 2416761097. The reversal of 2416761072 is 2701676142.

2416761072 is a `hidden beast` number, since 24 + 16 + 7 + 610 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2416761071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12144429 + ... + 12144627.

It is an arithmetic number, because the mean of its divisors is an integer number (22511580).

Almost surely, 2^2416761072 is an apocalyptic number.

2416761072 is a gapful number since it is divisible by the number (22) 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 2416761072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052084400).

2416761072 is an abundant number, since it is smaller than the sum of its proper divisors (5687407728).

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

2416761072 is a wasteful number, since it uses less digits than its factorization.

2416761072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2416761072 is about 49160.5641952978. The cubic root of 2416761072 is about 1341.9754541779.

The spelling of 2416761072 in words is "two billion, four hundred sixteen million, seven hundred sixty-one thousand, seventy-two".