2510290016 has 48 divisors (see below), whose sum is σ = 5358150000. Its totient is φ = 1150791168.

The previous prime is 2510290009. The next prime is 2510290043. The reversal of 2510290016 is 6100920152.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41735 + ... + 82233.

It is an arithmetic number, because the mean of its divisors is an integer number (111628125).

Almost surely, 2^2510290016 is an apocalyptic number.

2510290016 is a gapful number since it is divisible by the number (26) 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 2510290016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679075000).

2510290016 is an abundant number, since it is smaller than the sum of its proper divisors (2847859984).

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

2510290016 is a wasteful number, since it uses less digits than its factorization.

2510290016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40671 (or 40663 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 2510290016 is about 50102.7944929222. The cubic root of 2510290016 is about 1359.0683527077.

The spelling of 2510290016 in words is "two billion, five hundred ten million, two hundred ninety thousand, sixteen".