2012745702000 has 1440 divisors, whose sum is σ = 7762497043392. Its totient is φ = 448081920000.

The previous prime is 2012745701999. The next prime is 2012745702001. The reversal of 2012745702000 is 2075472102.

It is an interprime number because it is at equal distance from previous prime (2012745701999) and next prime (2012745702001).

It is a super-2 number, since 2×2012745702000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012745702001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11120141910 + ... + 11120142090.

Almost surely, 2^{2012745702000} is an apocalyptic number.

2012745702000 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 2012745702000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881248521696).

2012745702000 is an abundant number, since it is smaller than the sum of its proper divisors (5749751341392).

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

2012745702000 is a wasteful number, since it uses less digits than its factorization.

2012745702000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The spelling of 2012745702000 in words is "two trillion, twelve billion, seven hundred forty-five million, seven hundred two thousand".