2512952340 has 96 divisors (see below), whose sum is σ = 7168957824. Its totient is φ = 657538560.

The previous prime is 2512952333. The next prime is 2512952353. The reversal of 2512952340 is 432592152.

It is a super-2 number, since 2×2512952340² = 12629858926222951200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 2770167 + ... + 2771073.

It is an arithmetic number, because the mean of its divisors is an integer number (74676644).

Almost surely, 2^2512952340 is an apocalyptic number.

2512952340 is a gapful number since it is divisible by the number (20) 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 2512952340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584478912).

2512952340 is an abundant number, since it is smaller than the sum of its proper divisors (4656005484).

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

2512952340 is a wasteful number, since it uses less digits than its factorization.

2512952340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 2512952340 is about 50129.3560700714. The cubic root of 2512952340 is about 1359.5486427517.

The spelling of 2512952340 in words is "two billion, five hundred twelve million, nine hundred fifty-two thousand, three hundred forty".