2307628055040 has 960 divisors, whose sum is σ = 9755495608320. Its totient is φ = 454245580800.

The previous prime is 2307628055027. The next prime is 2307628055123. The reversal of 2307628055040 is 405508267032.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2307628054983 and 2307628055001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123584905 + ... + 123603575.

It is an arithmetic number, because the mean of its divisors is an integer number (10161974592).

Almost surely, 2^{2307628055040} is an apocalyptic number.

2307628055040 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 2307628055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877747804160).

2307628055040 is an abundant number, since it is smaller than the sum of its proper divisors (7447867553280).

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

2307628055040 is a wasteful number, since it uses less digits than its factorization.

2307628055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18745 (or 18718 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 2307628055040 in words is "two trillion, three hundred seven billion, six hundred twenty-eight million, fifty-five thousand, forty".