2135402072064 has 576 divisors, whose sum is σ = 6855928672320. Its totient is φ = 661640970240.

The previous prime is 2135402072057. The next prime is 2135402072093. The reversal of 2135402072064 is 4602702045312.

2135402072064 is a `hidden beast` number, since 2 + 13 + 540 + 20 + 7 + 20 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 702202384 + ... + 702205424.

It is an arithmetic number, because the mean of its divisors is an integer number (11902653945).

Almost surely, 2^{2135402072064} is an apocalyptic number.

2135402072064 is a gapful number since it is divisible by the number (24) 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 2135402072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427964336160).

2135402072064 is an abundant number, since it is smaller than the sum of its proper divisors (4720526600256).

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

2135402072064 is an equidigital number, since it uses as much as digits as its factorization.

2135402072064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 2135402072064 in words is "two trillion, one hundred thirty-five billion, four hundred two million, seventy-two thousand, sixty-four".