2510000064 has 336 divisors, whose sum is σ = 8733763584. Its totient is φ = 678758400.

The previous prime is 2510000057. The next prime is 2510000069. The reversal of 2510000064 is 4600000152.

It is a happy number.

2510000064 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 Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2510000069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2552917 + ... + 2553899.

It is an arithmetic number, because the mean of its divisors is an integer number (25993344).

Almost surely, 2^2510000064 is an apocalyptic number.

2510000064 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 2510000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366881792).

2510000064 is an abundant number, since it is smaller than the sum of its proper divisors (6223763520).

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

2510000064 is a wasteful number, since it uses less digits than its factorization.

2510000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2510000064 is about 50099.9008382252. The cubic root of 2510000064 is about 1359.0160241245.

The spelling of 2510000064 in words is "two billion, five hundred ten million, sixty-four", and thus it is an aban number.