2958420335040 has 224 divisors, whose sum is σ = 10565499539520. Its totient is φ = 788911902720.

The previous prime is 2958420335027. The next prime is 2958420335041. The reversal of 2958420335040 is 405330248592.

2958420335040 is a `hidden beast` number, since 2 + 9 + 58 + 4 + 203 + 350 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2958420335041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1413801 + ... + 2813480.

Almost surely, 2^{2958420335040} is an apocalyptic number.

2958420335040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2958420335040 is an abundant number, since it is smaller than the sum of its proper divisors (7607079204480).

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

2958420335040 is an frugal number, since it uses more digits than its factorization.

2958420335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227319 (or 4227291 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2958420335040 in words is "two trillion, nine hundred fifty-eight billion, four hundred twenty million, three hundred thirty-five thousand, forty".