2451542652 has 96 divisors (see below), whose sum is σ = 6861254400. Its totient is φ = 752504256.

The previous prime is 2451542629. The next prime is 2451542669. The reversal of 2451542652 is 2562451542.

2451542652 is a `hidden beast` number, since 2 + 4 + 51 + 542 + 65 + 2 = 666.

2451542652 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2451542652² = 12020122749150386208, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 653799 + ... + 657537.

It is an arithmetic number, because the mean of its divisors is an integer number (71471400).

Almost surely, 2^2451542652 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 2451542652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430627200).

2451542652 is an abundant number, since it is smaller than the sum of its proper divisors (4409711748).

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

2451542652 is a wasteful number, since it uses less digits than its factorization.

2451542652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 4224 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 2451542652 is about 49513.0553692660. The cubic root of 2451542652 is about 1348.3826359344.

The spelling of 2451542652 in words is "two billion, four hundred fifty-one million, five hundred forty-two thousand, six hundred fifty-two".