2477132064 has 192 divisors, whose sum is σ = 7994972160. Its totient is φ = 739872000.

The previous prime is 2477132059. The next prime is 2477132071. The reversal of 2477132064 is 4602317742.

It is a super-3 number, since 3×2477132064³ (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 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 31 ways as a sum of consecutive naturals, for example, 672949 + ... + 676619.

It is an arithmetic number, because the mean of its divisors is an integer number (41640480).

Almost surely, 2^2477132064 is an apocalyptic number.

2477132064 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 2477132064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997486080).

2477132064 is an abundant number, since it is smaller than the sum of its proper divisors (5517840096).

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

2477132064 is a wasteful number, since it uses less digits than its factorization.

2477132064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2477132064 is about 49770.7952920184. The cubic root of 2477132064 is about 1353.0579175899.

The spelling of 2477132064 in words is "two billion, four hundred seventy-seven million, one hundred thirty-two thousand, sixty-four".