2334428087040 has 2880 divisors, whose sum is σ = 10697692938240. Its totient is φ = 474054819840.

The previous prime is 2334428087011. The next prime is 2334428087051. The reversal of 2334428087040 is 407808244332.

2334428087040 is a `hidden beast` number, since 23 + 3 + 442 + 80 + 8 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×2334428087040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 18381323457 + ... + 18381323583.

Almost surely, 2^{2334428087040} is an apocalyptic number.

2334428087040 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 2334428087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348846469120).

2334428087040 is an abundant number, since it is smaller than the sum of its proper divisors (8363264851200).

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

2334428087040 is a wasteful number, since it uses less digits than its factorization.

2334428087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 2334428087040 in words is "two trillion, three hundred thirty-four billion, four hundred twenty-eight million, eighty-seven thousand, forty".