2672029651200 has 864 divisors, whose sum is σ = 11146836723456. Its totient is φ = 548518625280.

The previous prime is 2672029651199. The next prime is 2672029651201. The reversal of 2672029651200 is 21569202762.

It is an interprime number because it is at equal distance from previous prime (2672029651199) and next prime (2672029651201).

It is a super-2 number, since 2×2672029651200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2672029651201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64625734 + ... + 64667066.

Almost surely, 2^{2672029651200} is an apocalyptic number.

2672029651200 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 2672029651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573418361728).

2672029651200 is an abundant number, since it is smaller than the sum of its proper divisors (8474807072256).

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

2672029651200 is a wasteful number, since it uses less digits than its factorization.

2672029651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41419 (or 41400 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 2672029651200 in words is "two trillion, six hundred seventy-two billion, twenty-nine million, six hundred fifty-one thousand, two hundred".