2357142859680 has 576 divisors, whose sum is σ = 9051942751488. Its totient is φ = 513111244800.

The previous prime is 2357142859679. The next prime is 2357142859681. The reversal of 2357142859680 is 869582417532.

It is an interprime number because it is at equal distance from previous prime (2357142859679) and next prime (2357142859681).

It is a super-2 number, since 2×2357142859680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (2357142859681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126034330 + ... + 126053030.

It is an arithmetic number, because the mean of its divisors is an integer number (15715178388).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2357142859680 = 4714285719360, but 3⋅2357142859680 = 7071428579040 is not.

Almost surely, 2^{2357142859680} is an apocalyptic number.

2357142859680 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 2357142859680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525971375744).

2357142859680 is an abundant number, since it is smaller than the sum of its proper divisors (6694799891808).

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

2357142859680 is a wasteful number, since it uses less digits than its factorization.

2357142859680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18989 (or 18974 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 2357142859680 in words is "two trillion, three hundred fifty-seven billion, one hundred forty-two million, eight hundred fifty-nine thousand, six hundred eighty".