2070484416000 has 5760 divisors, whose sum is σ = 11125402928640. Its totient is φ = 376233984000.

The previous prime is 2070484415999. The next prime is 2070484416017. The reversal of 2070484416000 is 6144840702.

2070484416000 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 4 + 8 + 4 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×2070484416000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 108972863991 + ... + 108972864009.

It is an arithmetic number, because the mean of its divisors is an integer number (1931493564).

Almost surely, 2^{2070484416000} is an apocalyptic number.

2070484416000 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 2070484416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5562701464320).

2070484416000 is an abundant number, since it is smaller than the sum of its proper divisors (9054918512640).

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

2070484416000 is a wasteful number, since it uses less digits than its factorization.

2070484416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 2070484416000 in words is "two trillion, seventy billion, four hundred eighty-four million, four hundred sixteen thousand".