2307010083840 has 4224 divisors, whose sum is σ = 11667153254400. Its totient is φ = 420426547200.

The previous prime is 2307010083803. The next prime is 2307010083841. The reversal of 2307010083840 is 483800107032.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2307010083795 and 2307010083804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2307010083841) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37819837410 + ... + 37819837470.

Almost surely, 2^{2307010083840} is an apocalyptic number.

2307010083840 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 2307010083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5833576627200).

2307010083840 is an abundant number, since it is smaller than the sum of its proper divisors (9360143170560).

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

2307010083840 is a wasteful number, since it uses less digits than its factorization.

2307010083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2307010083840 in words is "two trillion, three hundred seven billion, ten million, eighty-three thousand, eight hundred forty".