2072472864 has 192 divisors, whose sum is σ = 6815757312. Its totient is φ = 535680000.

The previous prime is 2072472863. The next prime is 2072472869. The reversal of 2072472864 is 4682742702.

2072472864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2072472863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1854834 + ... + 1855950.

It is an arithmetic number, because the mean of its divisors is an integer number (35498736).

Almost surely, 2^2072472864 is an apocalyptic number.

2072472864 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 2072472864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407878656).

2072472864 is an abundant number, since it is smaller than the sum of its proper divisors (4743284448).

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

2072472864 is a wasteful number, since it uses less digits than its factorization.

2072472864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 2072472864 is about 45524.4205234949. The cubic root of 2072472864 is about 1274.9591916197.

The spelling of 2072472864 in words is "two billion, seventy-two million, four hundred seventy-two thousand, eight hundred sixty-four".