2954737632 has 288 divisors, whose sum is σ = 10424816640. Its totient is φ = 722104320.

The previous prime is 2954737631. The next prime is 2954737691. The reversal of 2954737632 is 2367374592.

2954737632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2954737631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 877969 + ... + 881327.

It is an arithmetic number, because the mean of its divisors is an integer number (36197280).

Almost surely, 2^2954737632 is an apocalyptic number.

2954737632 is a gapful number since it is divisible by the number (22) 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 2954737632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212408320).

2954737632 is an abundant number, since it is smaller than the sum of its proper divisors (7470079008).

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

2954737632 is a wasteful number, since it uses less digits than its factorization.

2954737632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3399 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 48.

The square root of 2954737632 is about 54357.4983971853. The cubic root of 2954737632 is about 1434.9594912221.

The spelling of 2954737632 in words is "two billion, nine hundred fifty-four million, seven hundred thirty-seven thousand, six hundred thirty-two".