2921149440 has 704 divisors, whose sum is σ = 12097278720. Its totient is φ = 660602880.

The previous prime is 2921149421. The next prime is 2921149453. The reversal of 2921149440 is 449411292.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×2921149440² = 17066228101624627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2921149395 and 2921149404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25850824 + ... + 25850936.

Almost surely, 2^2921149440 is an apocalyptic number.

2921149440 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 2921149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048639360).

2921149440 is an abundant number, since it is smaller than the sum of its proper divisors (9176129280).

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

2921149440 is a wasteful number, since it uses less digits than its factorization.

2921149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2921149440 is about 54047.6589687287. The cubic root of 2921149440 is about 1429.5014220281.

The spelling of 2921149440 in words is "two billion, nine hundred twenty-one million, one hundred forty-nine thousand, four hundred forty".