2451267072 has 120 divisors (see below), whose sum is σ = 7116028920. Its totient is φ = 812298240.

The previous prime is 2451267053. The next prime is 2451267097. The reversal of 2451267072 is 2707621542.

It is a happy number.

2451267072 is a `hidden beast` number, since 2 + 4 + 512 + 6 + 70 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 832579 + ... + 835517.

It is an arithmetic number, because the mean of its divisors is an integer number (59300241).

Almost surely, 2^2451267072 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 2451267072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558014460).

2451267072 is an abundant number, since it is smaller than the sum of its proper divisors (4664761848).

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

2451267072 is a wasteful number, since it uses less digits than its factorization.

2451267072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2451267072 is about 49510.2723886670. The cubic root of 2451267072 is about 1348.3321097605.

The spelling of 2451267072 in words is "two billion, four hundred fifty-one million, two hundred sixty-seven thousand, seventy-two".