2515401342000 has 240 divisors, whose sum is σ = 8793393933792. Its totient is φ = 670167820800.

The previous prime is 2515401341989. The next prime is 2515401342049. The reversal of 2515401342000 is 2431045152.

2515401342000 is a `hidden beast` number, since 2 + 51 + 5 + 401 + 3 + 4 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2515401342000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20043447 + ... + 20168553.

Almost surely, 2^{2515401342000} is an apocalyptic number.

2515401342000 is a gapful number since it is divisible by the number (20) 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 2515401342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396696966896).

2515401342000 is an abundant number, since it is smaller than the sum of its proper divisors (6277992591792).

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

2515401342000 is a wasteful number, since it uses less digits than its factorization.

2515401342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126253 (or 126234 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 2515401342000 its reverse (2431045152), we get a palindrome (2517832387152).

The spelling of 2515401342000 in words is "two trillion, five hundred fifteen billion, four hundred one million, three hundred forty-two thousand".