2946121640 has 128 divisors (see below), whose sum is σ = 8302521600. Its totient is φ = 914042880.

The previous prime is 2946121639. The next prime is 2946121657. The reversal of 2946121640 is 461216492.

It is a super-4 number, since 4×2946121640⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2946121640.

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 31 ways as a sum of consecutive naturals, for example, 703232 + ... + 707408.

It is an arithmetic number, because the mean of its divisors is an integer number (64863450).

Almost surely, 2^2946121640 is an apocalyptic number.

2946121640 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 2946121640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151260800).

2946121640 is an abundant number, since it is smaller than the sum of its proper divisors (5356399960).

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

2946121640 is a wasteful number, since it uses less digits than its factorization.

2946121640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 2946121640 is about 54278.1875157968. The cubic root of 2946121640 is about 1433.5633563893.

The spelling of 2946121640 in words is "two billion, nine hundred forty-six million, one hundred twenty-one thousand, six hundred forty".