2515278964968 has 320 divisors, whose sum is σ = 9066858577920. Its totient is φ = 632244009600.

The previous prime is 2515278964943. The next prime is 2515278965027. The reversal of 2515278964968 is 8694698725152.

2515278964968 is a `hidden beast` number, since 2 + 5 + 1 + 52 + 7 + 89 + 6 + 496 + 8 = 666.

It is a super-2 number, since 2×2515278964968² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2515278964896 and 2515278964905.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 733705 + ... + 2359847.

It is an arithmetic number, because the mean of its divisors is an integer number (28333933056).

Almost surely, 2^{2515278964968} is an apocalyptic number.

2515278964968 is a gapful number since it is divisible by the number (28) 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 2515278964968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533429288960).

2515278964968 is an abundant number, since it is smaller than the sum of its proper divisors (6551579612952).

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

2515278964968 is a wasteful number, since it uses less digits than its factorization.

2515278964968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626210 (or 1626197 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 72.

The spelling of 2515278964968 in words is "two trillion, five hundred fifteen billion, two hundred seventy-eight million, nine hundred sixty-four thousand, nine hundred sixty-eight".