2505991312 has 120 divisors (see below), whose sum is σ = 5618890368. Its totient is φ = 1079823360.

The previous prime is 2505991303. The next prime is 2505991331. The reversal of 2505991312 is 2131995052.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7436008 + ... + 7436344.

Almost surely, 2^2505991312 is an apocalyptic number.

2505991312 is a gapful number since it is divisible by the number (22) 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 2505991312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809445184).

2505991312 is an abundant number, since it is smaller than the sum of its proper divisors (3112899056).

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

2505991312 is a wasteful number, since it uses less digits than its factorization.

2505991312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 37.

The square root of 2505991312 is about 50059.8772671288. The cubic root of 2505991312 is about 1358.2921382047.

The spelling of 2505991312 in words is "two billion, five hundred five million, nine hundred ninety-one thousand, three hundred twelve".