2512948536 has 576 divisors, whose sum is σ = 9082644480. Its totient is φ = 646652160.

The previous prime is 2512948523. The next prime is 2512948541. The reversal of 2512948536 is 6358492152.

2512948536 is a `hidden beast` number, since 2 + 51 + 29 + 48 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2512948491 and 2512948500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67917510 + ... + 67917546.

It is an arithmetic number, because the mean of its divisors is an integer number (15768480).

Almost surely, 2^2512948536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2512948536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541322240).

2512948536 is an abundant number, since it is smaller than the sum of its proper divisors (6569695944).

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

2512948536 is a wasteful number, since it uses less digits than its factorization.

2512948536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 2512948536 is about 50129.3181282171. The cubic root of 2512948536 is about 1359.5479567424.

The spelling of 2512948536 in words is "two billion, five hundred twelve million, nine hundred forty-eight thousand, five hundred thirty-six".