2961696150000 has 1440 divisors, whose sum is σ = 12439813800960. Its totient is φ = 668113920000.

The previous prime is 2961696149999. The next prime is 2961696150019. The reversal of 2961696150000 is 516961692.

It is a happy number.

2961696150000 is a `hidden beast` number, since 29 + 6 + 1 + 6 + 9 + 615 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8249849821 + ... + 8249850179.

It is an arithmetic number, because the mean of its divisors is an integer number (8638759584).

Almost surely, 2^{2961696150000} is an apocalyptic number.

2961696150000 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 2961696150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6219906900480).

2961696150000 is an abundant number, since it is smaller than the sum of its proper divisors (9478117650960).

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

2961696150000 is an frugal number, since it uses more digits than its factorization.

2961696150000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

It can be divided in two parts, 2961696 and 150000, that added together give a 4-th power (3111696 = 42⁴).

The spelling of 2961696150000 in words is "two trillion, nine hundred sixty-one billion, six hundred ninety-six million, one hundred fifty thousand".