2070235405152 has 384 divisors, whose sum is σ = 6203043504000. Its totient is φ = 679941402624.

The previous prime is 2070235405129. The next prime is 2070235405159. The reversal of 2070235405152 is 2515045320702.

2070235405152 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 235 + 405 + 15 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2070235405159) 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, 3170344858 + ... + 3170345510.

It is an arithmetic number, because the mean of its divisors is an integer number (16153759125).

Almost surely, 2^{2070235405152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2070235405152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101521752000).

2070235405152 is an abundant number, since it is smaller than the sum of its proper divisors (4132808098848).

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

2070235405152 is an frugal number, since it uses more digits than its factorization.

2070235405152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 2070235405152 in words is "two trillion, seventy billion, two hundred thirty-five million, four hundred five thousand, one hundred fifty-two".