2985762820096 has 585 divisors, whose sum is σ = 7613654506341. Its totient is φ = 1170462375936.

The previous prime is 2985762820013. The next prime is 2985762820099. The reversal of 2985762820096 is 6900282675892.

The square root of 2985762820096 is 1727936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1565661597696 + 1420101222400 = 1251264^2 + 1191680^2 .

It is a super-2 number, since 2×2985762820096² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2985762820099) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 102957338610 + ... + 102957338638.

Almost surely, 2^{2985762820096} is an apocalyptic number.

2985762820096 is the 1727936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2985762820096

2985762820096 is an abundant number, since it is smaller than the sum of its proper divisors (4627891686245).

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

2985762820096 is an frugal number, since it uses more digits than its factorization.

2985762820096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

Multiplying 2985762820096 by its sum of digits (64), we get a square (191088820486144 = 13823488²).

2985762820096 divided by its sum of digits (64) gives a square (46652544064 = 215992²).

The spelling of 2985762820096 in words is "two trillion, nine hundred eighty-five billion, seven hundred sixty-two million, eight hundred twenty thousand, ninety-six".