2573999178240 has 1280 divisors, whose sum is σ = 10180634112000. Its totient is φ = 541776936960.

The previous prime is 2573999178217. The next prime is 2573999178271. The reversal of 2573999178240 is 428719993752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6791554371 + ... + 6791554749.

It is an arithmetic number, because the mean of its divisors is an integer number (7953620400).

Almost surely, 2^{2573999178240} is an apocalyptic number.

2573999178240 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 2573999178240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090317056000).

2573999178240 is an abundant number, since it is smaller than the sum of its proper divisors (7606634933760).

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

2573999178240 is a wasteful number, since it uses less digits than its factorization.

2573999178240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 66.

The spelling of 2573999178240 in words is "two trillion, five hundred seventy-three billion, nine hundred ninety-nine million, one hundred seventy-eight thousand, two hundred forty".