2961514920 has 768 divisors, whose sum is σ = 12286391040. Its totient is φ = 563576832.

The previous prime is 2961514883. The next prime is 2961514921. The reversal of 2961514920 is 294151692.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2961514921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55877614 + ... + 55877666.

It is an arithmetic number, because the mean of its divisors is an integer number (15997905).

Almost surely, 2^2961514920 is an apocalyptic number.

2961514920 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 2961514920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143195520).

2961514920 is an abundant number, since it is smaller than the sum of its proper divisors (9324876120).

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

2961514920 is a wasteful number, since it uses less digits than its factorization.

2961514920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 2961514920 is about 54419.8026457281. The cubic root of 2961514920 is about 1436.0557766786.

The spelling of 2961514920 in words is "two billion, nine hundred sixty-one million, five hundred fourteen thousand, nine hundred twenty".