2961485640 has 192 divisors, whose sum is σ = 9852710400. Its totient is φ = 771264000.

The previous prime is 2961485627. The next prime is 2961485671. The reversal of 2961485640 is 465841692.

2961485640 is a `hidden beast` number, since 29 + 61 + 4 + 8 + 564 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2871925 + ... + 2872955.

It is an arithmetic number, because the mean of its divisors is an integer number (51316200).

Almost surely, 2^2961485640 is an apocalyptic number.

2961485640 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 2961485640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926355200).

2961485640 is an abundant number, since it is smaller than the sum of its proper divisors (6891224760).

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

2961485640 is a wasteful number, since it uses less digits than its factorization.

2961485640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2961485640 is about 54419.5336253445. The cubic root of 2961485640 is about 1436.0510439823.

It can be divided in two parts, 2961 and 485640, that added together give a square (488601 = 699²).

The spelling of 2961485640 in words is "two billion, nine hundred sixty-one million, four hundred eighty-five thousand, six hundred forty".