2412078264 has 192 divisors, whose sum is σ = 7175750400. Its totient is φ = 757506816.

The previous prime is 2412078247. The next prime is 2412078271. The reversal of 2412078264 is 4628702142.

2412078264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2412078264³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3263607 + ... + 3264345.

It is an arithmetic number, because the mean of its divisors is an integer number (37373700).

Almost surely, 2^2412078264 is an apocalyptic number.

2412078264 is a gapful number since it is divisible by the number (24) 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 2412078264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587875200).

2412078264 is an abundant number, since it is smaller than the sum of its proper divisors (4763672136).

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

2412078264 is a wasteful number, since it uses less digits than its factorization.

2412078264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2412078264 is about 49112.9134138874. The cubic root of 2412078264 is about 1341.1081395609.

The spelling of 2412078264 in words is "two billion, four hundred twelve million, seventy-eight thousand, two hundred sixty-four".