2015451005440 has 160 divisors (see below), whose sum is σ = 4848290314560. Its totient is φ = 803528294400.

The previous prime is 2015451005423. The next prime is 2015451005461. The reversal of 2015451005440 is 445001545102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1721136055 + ... + 1721137225.

It is an arithmetic number, because the mean of its divisors is an integer number (30301814466).

Almost surely, 2^{2015451005440} is an apocalyptic number.

2015451005440 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 2015451005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424145157280).

2015451005440 is an abundant number, since it is smaller than the sum of its proper divisors (2832839309120).

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

2015451005440 is an equidigital number, since it uses as much as digits as its factorization.

2015451005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The spelling of 2015451005440 in words is "two trillion, fifteen billion, four hundred fifty-one million, five thousand, four hundred forty".