2652476064 has 192 divisors, whose sum is σ = 8276631552. Its totient is φ = 727833600.

The previous prime is 2652476063. The next prime is 2652476083. The reversal of 2652476064 is 4606742562.

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 (2652476063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3270219 + ... + 3271029.

It is an arithmetic number, because the mean of its divisors is an integer number (43107456).

Almost surely, 2^2652476064 is an apocalyptic number.

2652476064 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 2652476064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138315776).

2652476064 is an abundant number, since it is smaller than the sum of its proper divisors (5624155488).

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

2652476064 is a wasteful number, since it uses less digits than its factorization.

2652476064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 2652476064 is about 51502.1947493502. The cubic root of 2652476064 is about 1384.2583689068.

The spelling of 2652476064 in words is "two billion, six hundred fifty-two million, four hundred seventy-six thousand, sixty-four".