2451413423052 has 288 divisors, whose sum is σ = 7187352856320. Its totient is φ = 696706583040.

The previous prime is 2451413423029. The next prime is 2451413423057. The reversal of 2451413423052 is 2503243141542.

It is a happy number.

2451413423052 is a `hidden beast` number, since 2 + 4 + 5 + 1 + 4 + 1 + 342 + 305 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2451413422998 and 2451413423016.

It is not an unprimeable number, because it can be changed into a prime (2451413423057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 334295178 + ... + 334302510.

Almost surely, 2^{2451413423052} is an apocalyptic number.

2451413423052 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 2451413423052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593676428160).

2451413423052 is an abundant number, since it is smaller than the sum of its proper divisors (4735939433268).

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

2451413423052 is a wasteful number, since it uses less digits than its factorization.

2451413423052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7813 (or 7808 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 2451413423052 its reverse (2503243141542), we get a palindrome (4954656564594).

The spelling of 2451413423052 in words is "two trillion, four hundred fifty-one billion, four hundred thirteen million, four hundred twenty-three thousand, fifty-two".