2945685690000 has 375 divisors, whose sum is σ = 10659265526767. Its totient is φ = 785104272000.

The previous prime is 2945685689971. The next prime is 2945685690029. The reversal of 2945685690000 is 965865492.

It is a happy number.

The square root of 2945685690000 is 1716300.

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

2945685690000 is a `hidden beast` number, since 29 + 4 + 56 + 8 + 569 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2945685689971) and next prime (2945685690029).

It can be written as a sum of positive squares in 2 ways, for example, as 230941758096 + 2714743931904 = 480564^2 + 1647648^2 .

It is a tau number, because it is divible by the number of its divisors (375).

It is a super-2 number, since 2×2945685690000² (a number of 26 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1544669047 + ... + 1544670953.

Almost surely, 2^{2945685690000} is an apocalyptic number.

2945685690000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2945685690000 is the 1716300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2945685690000

2945685690000 is an abundant number, since it is smaller than the sum of its proper divisors (7713579836767).

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

2945685690000 is an frugal number, since it uses more digits than its factorization.

2945685690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 2945685690000 in words is "two trillion, nine hundred forty-five billion, six hundred eighty-five million, six hundred ninety thousand".