2034311679972 has 1152 divisors, whose sum is σ = 6870940876800. Its totient is φ = 516985804800.

The previous prime is 2034311679943. The next prime is 2034311680003. The reversal of 2034311679972 is 2799761134302.

It is a super-2 number, since 2×2034311679972² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10650846397 + ... + 10650846587.

It is an arithmetic number, because the mean of its divisors is an integer number (5964358400).

Almost surely, 2^{2034311679972} is an apocalyptic number.

2034311679972 is a gapful number since it is divisible by the number (22) 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 2034311679972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435470438400).

2034311679972 is an abundant number, since it is smaller than the sum of its proper divisors (4836629196828).

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

2034311679972 is a wasteful number, since it uses less digits than its factorization.

2034311679972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 2034311679972 in words is "two trillion, thirty-four billion, three hundred eleven million, six hundred seventy-nine thousand, nine hundred seventy-two".