2519681472 has 448 divisors, whose sum is σ = 9568281600. Its totient is φ = 630927360.

The previous prime is 2519681431. The next prime is 2519681477. The reversal of 2519681472 is 2741869152.

2519681472 is a `hidden beast` number, since 2 + 519 + 68 + 1 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2519681477) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3858298 + ... + 3858950.

Almost surely, 2^2519681472 is an apocalyptic number.

2519681472 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 2519681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784140800).

2519681472 is an abundant number, since it is smaller than the sum of its proper divisors (7048600128).

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

2519681472 is a wasteful number, since it uses less digits than its factorization.

2519681472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 705 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 2519681472 is about 50196.4288769630. The cubic root of 2519681472 is about 1360.7610849585.

The spelling of 2519681472 in words is "two billion, five hundred nineteen million, six hundred eighty-one thousand, four hundred seventy-two".