2345987010640 has 320 divisors, whose sum is σ = 7482136112640. Its totient is φ = 662012559360.

The previous prime is 2345987010629. The next prime is 2345987010641. The reversal of 2345987010640 is 460107895432.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345987010641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1852600 + ... + 2850280.

It is an arithmetic number, because the mean of its divisors is an integer number (23381675352).

It is a 1-persistent number, because it is pandigital, but 2⋅2345987010640 = 4691974021280 is not.

Almost surely, 2^{2345987010640} is an apocalyptic number.

2345987010640 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 2345987010640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741068056320).

2345987010640 is an abundant number, since it is smaller than the sum of its proper divisors (5136149102000).

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

2345987010640 is a wasteful number, since it uses less digits than its factorization.

2345987010640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997750 (or 997744 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 2345987010640 in words is "two trillion, three hundred forty-five billion, nine hundred eighty-seven million, ten thousand, six hundred forty".