2415766426080 has 576 divisors, whose sum is σ = 8932312101888. Its totient is φ = 537604300800.

The previous prime is 2415766426069. The next prime is 2415766426097. The reversal of 2415766426080 is 806246675142.

It is a super-2 number, since 2×2415766426080² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3733796317 + ... + 3733796963.

It is an arithmetic number, because the mean of its divisors is an integer number (15507486288).

Almost surely, 2^{2415766426080} is an apocalyptic number.

2415766426080 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 2415766426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466156050944).

2415766426080 is an abundant number, since it is smaller than the sum of its proper divisors (6516545675808).

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

2415766426080 is a wasteful number, since it uses less digits than its factorization.

2415766426080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 2415766426080 in words is "two trillion, four hundred fifteen billion, seven hundred sixty-six million, four hundred twenty-six thousand, eighty".