2464292064 has 96 divisors (see below), whose sum is σ = 6989461920. Its totient is φ = 755730432.

The previous prime is 2464292063. The next prime is 2464292087. The reversal of 2464292064 is 4602924642.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2464292063) 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 15 ways as a sum of consecutive naturals, for example, 392502 + ... + 398730.

It is an arithmetic number, because the mean of its divisors is an integer number (72806895).

Almost surely, 2^2464292064 is an apocalyptic number.

2464292064 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 2464292064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494730960).

2464292064 is an abundant number, since it is smaller than the sum of its proper divisors (4525169856).

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

2464292064 is a wasteful number, since it uses less digits than its factorization.

2464292064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6572 (or 6564 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 2464292064 is about 49641.6363952680. The cubic root of 2464292064 is about 1350.7160470239.

It can be divided in two parts, 2464 and 292064, that added together give a triangular number (294528 = T₇₆₇).

The spelling of 2464292064 in words is "two billion, four hundred sixty-four million, two hundred ninety-two thousand, sixty-four".